Given and , the component of perpendicular to…

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Given C⃗=5i^+2j^+4k^\vec C=5\hat i+2\hat j+4\hat k and D⃗=2i^−j^+2k^\vec D=2\hat i-\hat j+2\hat k, the component of C⃗\vec C perpendicular to D⃗\vec D is (a) 139i^−349j^+49k^\dfrac{13}{9}\hat i-\dfrac{34}{9}\hat j+\dfrac{4}{9}\hat k (b) 329i^−169j^+329k^\dfrac{32}{9}\hat i-\dfrac{16}{9}\hat j+\dfrac{32}{9}\hat k (c) 139i^+349j^+49k^\dfrac{13}{9}\hat i+\dfrac{34}{9}\hat j+\dfrac{4}{9}\hat k (d) 19345i^+10645j^+14845k^\dfrac{193}{45}\hat i+\dfrac{106}{45}\hat j+\dfrac{148}{45}\hat k

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