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Question

Show that the vectors 2^i3^j+4^k and 4^i+6^j8^k are collinear.

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Solution

Let a=2^i3^j+4^k and b=4^i+6^j8^k
It is observed that b=4^i+6^j8^k=2(2^i3^j+4^k)=2a
b=λa, where λ =2
Vectors a and b have the same direction, therefore they are collinear.


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