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Question

Let A=2i+k,B=i+j+k, and C=4i3j+7k Determine a vector Rsatisfying R×B=C×B and R.A=0

A
^i8^j+2^k
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B
8^i^j+2^k
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C
2^i^j+8^k
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D
^i2^j+8^k
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Solution

The correct option is A ^i8^j+2^k
Given, R×B=C×BR×BC×B=0
(RC)×B=0R=C+kB
Also given, RA=0k=CABA=153=5
Hence R=C5B=^i8^j+2^k

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