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Question

Let a=i+jk,b=5i3j3k,c=3ij+2k If a vector r is colinear with c and |r|=a+b then r equals.

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Solution

Given that
a=i+jk
b=5i3j3¯¯¯k
c=3ij+2k
|r|2=a+b
=6i2j4k
=(6)2+(2)2+(4)2
=36+4+16
=56

Hence we get,
r=56.

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