Three vectors in space are

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

Problem

Three vectors in space are P⃗=4 i^−2 j^+3 k^\vec P = 4\,\hat i - 2\,\hat j + 3\,\hat k, Q⃗=−1 i^+5 j^−4 k^\vec Q = -1\,\hat i + 5\,\hat j - 4\,\hat k and R⃗=rx i^−3 j^+2 k^\vec R = r_x\,\hat i - 3\,\hat j + 2\,\hat k. If P⃗+Q⃗+R⃗=0⃗\vec P + \vec Q + \vec R = \vec 0, determine the value of rxr_x. (a) 33 (b) −5-5 (c) −3-3 (d) 11

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