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    Maths-
    General
    Easy

    Question

    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

    1. fraction numerator 943 over denominator 49 end fraction left parenthesis 2 stack i with ˆ on top minus 3 stack j with ˆ on top minus 6 stack k with ˆ on top right parenthesis    
    2. fraction numerator 943 over denominator 49 to the power of 2 end exponent end fraction left parenthesis 2 stack i with ˆ on top minus 3 stack j with ˆ on top minus 6 stack k with ˆ on top right parenthesis    
    3. fraction numerator 943 over denominator 49 end fraction left parenthesis negative 2 stack i with ˆ on top plus 3 stack j with ˆ on top plus 6 stack k with ˆ on top right parenthesis    
    4. fraction numerator 943 over denominator 49 to the power of 2 end exponent end fraction left parenthesis negative 2 stack i with ˆ on top plus 3 stack j with ˆ on top plus 6 stack k with ˆ on top right parenthesis    

    The correct answer is: fraction numerator 943 over denominator 49 to the power of 2 end exponent end fraction left parenthesis 2 stack i with ˆ on top minus 3 stack j with ˆ on top minus 6 stack k with ˆ on top right parenthesis

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