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Maths-

General

Easy

Question

If $p equals i minus 2 j plus 3 k$ and $q equals 3 i plus j plus 2 k comma$ then a vector along r which is linear combination of p and q and also perpendicular to q is

$i + 5 j - 4 k$
$i - 5 j + 4 k$
$- \frac{1}{2} (i + 5 j - 4 k)$
None of these

The correct answer is: $negative fraction numerator 1 over denominator 2 end fraction left parenthesis i plus 5 j minus 4 k right parenthesis$

$r equals p plus lambda q rightwards double arrow r. q equals p. q plus lambda q. q$
$rightwards double arrow 0 equals 7 plus 14 lambda rightwards double arrow lambda equals negative fraction numerator 1 over denominator 2 end fraction$
Therefore, $r equals negative fraction numerator 1 over denominator 2 end fraction left parenthesis i plus 5 j minus 4 k right parenthesis.$

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Select the correct answer using the codes given below :

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Select the correct answer using the codes given below :

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Which of the following is called Sandmeyer reaction?

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If a, b, c are mutually perpendicular unit vectors, then $vertical line a plus b plus c vertical line equals$

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If O is origin and C is the mid point of $A left parenthesis 2 comma negative 1 right parenthesis$ and $B left parenthesis negative 4 , 3 right parenthesis$ . Then value of $Error converting from MathML to accessible text.$ is

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If a and b are P.V. of two points A and B and C divides AB in ratio 2 : 1, then P.V. of C is

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