Question #e27ab

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Question #e27ab

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Answer 1 · 2016-10-06T17:01:18

If we are to find out the vector of magnitude 3 in the direction of $\to v = 3 ˆ i + 4 ˆ j$ $vec(v)=3hati+4hatj$ ,then we can have it by taking a scalar multiple of the unit vector of $\to v$ $vec(v)$ by 3.

So the required vector

$= 3 \times \frac{1}{\sqrt{3^{2} + 4^{2}}} \times (3 ˆ i + 4 ˆ j)$ $=3xx1/sqrt(3^2+4^2)xx(3hati+4hatj)$

$= \frac{3}{5} (3 ˆ i + 4 ˆ j)$ $=3/5(3hati+4hatj)$

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Question #e27ab

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