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    Maths-
    General
    Easy

    Question

    Find the projection of the vector a with rightwards arrow on top equals 2 i with hat on top plus 3 j with hat on top plus 2 k with hat on top on the vector stack b with rightwards arrow on top equals i with ˆ on top plus 2 j with ˆ on top plus k with ˆ on top.

    1. 10    
    2. -41    
    3. 41    
    4. 80    

    The correct answer is: 10

    Related Questions to study

    General
    Maths-

    Let stack a with ‾ on top equals 2 stack i with ˆ on top plus 3 stack j with ˆ on top minus 6 stack k with ˆ on top comma stack b with rightwards arrow on top equals 2 stack i with ˆ on top minus 3 stack j with ˆ on top plus 6 stack k with ˆ on top and stack c with ‾ on top equals negative 2 stack i with ˆ on top plus 3 stack j with ˆ on top plus 6 stack k with ˆ on top timeslet stack a with rightwards arrow on top subscript 1 end subscript be projection of stack a with rightwards arrow on top on stack b with rightwards arrow on top and stack a with rightwards arrow on top subscript 2 end subscript be the projection of stack a with rightwards arrow on top subscript 1 end subscript on stack c with rightwards arrow on top. Then stack a with rightwards arrow on top subscript 2 end subscript equals

    Let stack a with ‾ on top equals 2 stack i with ˆ on top plus 3 stack j with ˆ on top minus 6 stack k with ˆ on top comma stack b with rightwards arrow on top equals 2 stack i with ˆ on top minus 3 stack j with ˆ on top plus 6 stack k with ˆ on top and stack c with ‾ on top equals negative 2 stack i with ˆ on top plus 3 stack j with ˆ on top plus 6 stack k with ˆ on top timeslet stack a with rightwards arrow on top subscript 1 end subscript be projection of stack a with rightwards arrow on top on stack b with rightwards arrow on top and stack a with rightwards arrow on top subscript 2 end subscript be the projection of stack a with rightwards arrow on top subscript 1 end subscript on stack c with rightwards arrow on top. Then stack a with rightwards arrow on top subscript 2 end subscript equals

    Maths-General
    General
    Maths-

    text  If  end text sin text end text A plus sin space B equals square root of 3 left parenthesis cos space B minus cos space A right parenthesis then sin space 3 A plus sin space 3 B equals

    text  If  end text sin text end text A plus sin space B equals square root of 3 left parenthesis cos space B minus cos space A right parenthesis then sin space 3 A plus sin space 3 B equals

    Maths-General
    General
    Maths-

    s i n squared space alpha plus c o s squared space left parenthesis alpha plus beta right parenthesis plus 2 s i n space alpha s i n space beta c o s space left parenthesis alpha plus beta right parenthesis equals

    s i n squared space alpha plus c o s squared space left parenthesis alpha plus beta right parenthesis plus 2 s i n space alpha s i n space beta c o s space left parenthesis alpha plus beta right parenthesis equals

    Maths-General
    parallel
    General
    Maths-

    text  If  end text sin text end text x cos space y equals 1 fourth and 3 tan space x equals 4 tan space y then sin space left parenthesis x minus y right parenthesis equals

    text  If  end text sin text end text x cos space y equals 1 fourth and 3 tan space x equals 4 tan space y then sin space left parenthesis x minus y right parenthesis equals

    Maths-General
    General
    Maths-

    c o t space A c o t space B equals 2 comma cos space left parenthesis A plus B right parenthesis equals 3 divided by 5 rightwards double arrow sin space A sin space B equals

    c o t space A c o t space B equals 2 comma cos space left parenthesis A plus B right parenthesis equals 3 divided by 5 rightwards double arrow sin space A sin space B equals

    Maths-General
    General
    Maths-

    text  If  end text x cos space theta equals y cos space open parentheses theta plus fraction numerator 2 pi over denominator 3 end fraction close parentheses equals z cos space open parentheses theta plus fraction numerator 4 pi over denominator 3 end fraction close parentheses then the value of 1 over x plus 1 over y plus 1 over z equals

    text  If  end text x cos space theta equals y cos space open parentheses theta plus fraction numerator 2 pi over denominator 3 end fraction close parentheses equals z cos space open parentheses theta plus fraction numerator 4 pi over denominator 3 end fraction close parentheses then the value of 1 over x plus 1 over y plus 1 over z equals

    Maths-General
    parallel
    General
    Maths-

    text  If  end text 0 less than alpha comma beta less than pi over 4 comma cos space left parenthesis alpha plus beta right parenthesis equals 4 over 5 comma sin space left parenthesis alpha minus beta right parenthesis equals 5 over 13 text  then  end text tan text end text 2 alpha equals

    text  If  end text 0 less than alpha comma beta less than pi over 4 comma cos space left parenthesis alpha plus beta right parenthesis equals 4 over 5 comma sin space left parenthesis alpha minus beta right parenthesis equals 5 over 13 text  then  end text tan text end text 2 alpha equals

    Maths-General
    General
    Maths-

    if tan space left parenthesis A minus B right parenthesis equals 7 divided by 24 comma tan space A equals 4 divided by 3 where A, B acute, then A+B=

    if tan space left parenthesis A minus B right parenthesis equals 7 divided by 24 comma tan space A equals 4 divided by 3 where A, B acute, then A+B=

    Maths-General
    General
    Maths-

    text  If  end text cos space A equals 5 over 13 comma tan space B equals fraction numerator negative 15 over denominator 8 end fraction comma negative 270 to the power of ring operator less than straight A less than 360 to the power of ring operator comma 90 to the power of ring operator less than straight B less than 180 to the power of ring operator, then the quadrant to which A+B belongs is

    text  If  end text cos space A equals 5 over 13 comma tan space B equals fraction numerator negative 15 over denominator 8 end fraction comma negative 270 to the power of ring operator less than straight A less than 360 to the power of ring operator comma 90 to the power of ring operator less than straight B less than 180 to the power of ring operator, then the quadrant to which A+B belongs is

    Maths-General
    parallel
    General
    Maths-

    In a triangle A B C comma fraction numerator t a n invisible function application B over denominator t a n invisible function application C end fraction equals 2 over 3 and t a n invisible function application A t a n invisible function application B t a n invisible function application C equals 6 then the value(s) satisfy the equation

    In a triangle A B C comma fraction numerator t a n invisible function application B over denominator t a n invisible function application C end fraction equals 2 over 3 and t a n invisible function application A t a n invisible function application B t a n invisible function application C equals 6 then the value(s) satisfy the equation

    Maths-General
    General
    Maths-

    t a n space 40 to the power of ring operator plus t a n space 80 to the power of ring operator minus √ 3 t a n space 40 to the power of ring operator t a n space 80 to the power of ring operator equals

    t a n space 40 to the power of ring operator plus t a n space 80 to the power of ring operator minus √ 3 t a n space 40 to the power of ring operator t a n space 80 to the power of ring operator equals

    Maths-General
    General
    Maths-

    text  If  end text 0 less than theta less than pi over 2 text  and  end text 2 sin invisible function application theta equals square root of 3 cos space 10 to the power of ring operator plus sin space 10 to the power of ring operator text  then  end text theta equals

    text  If  end text 0 less than theta less than pi over 2 text  and  end text 2 sin invisible function application theta equals square root of 3 cos space 10 to the power of ring operator plus sin space 10 to the power of ring operator text  then  end text theta equals

    Maths-General
    parallel
    General
    Maths-

    cos space left parenthesis n plus 1 right parenthesis alpha cos space left parenthesis n minus 1 right parenthesis alpha plus sin space left parenthesis n plus 1 right parenthesis alpha sin space left parenthesis n minus 1 right parenthesis alpha equals

    cos space left parenthesis n plus 1 right parenthesis alpha cos space left parenthesis n minus 1 right parenthesis alpha plus sin space left parenthesis n plus 1 right parenthesis alpha sin space left parenthesis n minus 1 right parenthesis alpha equals

    Maths-General
    General
    Maths-

    sin space 40 to the power of ring operator 35 cos space 19 to the power of ring operator 25 plus cos space 40 to the power of ring operator 35 to the power of ring operator sin space 19 to the power of ring operator 25 equals

    sin space 40 to the power of ring operator 35 cos space 19 to the power of ring operator 25 plus cos space 40 to the power of ring operator 35 to the power of ring operator sin space 19 to the power of ring operator 25 equals

    Maths-General
    General
    Maths-

    Assertion A: In a right-angled triangle s i n squared space A plus s i n squared space B plus s e c squared space C equals 2 Reason R colonif alpha comma beta are complementary angles then s i n squared space alpha plus s i n squared space beta equals 1

    Assertion A: In a right-angled triangle s i n squared space A plus s i n squared space B plus s e c squared space C equals 2 Reason R colonif alpha comma beta are complementary angles then s i n squared space alpha plus s i n squared space beta equals 1

    Maths-General
    parallel

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