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Question

Find the vector r which is perpendicular to a=^i2^j+5^k and b=2^i+3^j^k and r.(2^i+^j+^k)+8=0

A
r=13^i11^j+7^k
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B
r=13^i7^j+11^k
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C
r=13^i+11^j+7^k
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D
r=13^i+7^j+11^k
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Solution

The correct option is C r=13^i+11^j+7^k
Vector perpendicular to a=^i2^j+5^k and b=2^i+3^j^k
is a×b=13^i+11^j+7^k
Let r=t(13^i+11^j+7^k)
but r.(2^i+^j+^k)=8
26t+11t+7t=8
t=1
r=13^i+11^j+7^k
Hence, option C.

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