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Question

If A=2i+2j+3k,B=i+2j+k and C=3i+j, and A+ tB is perpendicular to C then determine t.

A
8
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B
4
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C
4
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D
8
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Solution

The correct option is D 8
A=2^i+2^j+3^k;B=^i+2^j+^k;C=3^i+^j
A+tB=(2t)^i+(2+2t)^j+(3+t)^k ...(1)
C=3^i+^j ...(2)
Since (1) and (2) are perpendicular, their dot product is zero.
63t+2+2t=0 or
8t=0 or
t=8

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