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Show that the vectors 2hat(i)-3hat(j)+4h...

Show that the vectors `2hat(i)-3hat(j)+4hat(k)` and `-4hat(i)+6hat(j)-8hat(k)` are collinear.

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Let `vec(a) =2hat(i)-3hat(j)+4hat(k) and vec(b) =-4hat(i)+6hat(j)-8hat(k)`.
It is observed that `vec(b) =- 4hat(i)+6hat(j)-8hat(k)=-2(2hat(i)-3hat(j)+4hat(k))=-2a`.
`therefore vec(b)=lambda vec(a)`, where `lambda =-2`.
Vectors a and b have the same direction, therefore they are collinear.
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SUBHASH PUBLICATION-VECTOR ALGEBRA -TWO MARKS/THREE MARKS QUESTIONS WITH ANSWERS
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