Learning exercise-2.8
1. A vector A makes an angle 0 with a certain line. What is the magnitude component of A along this line?
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Answer:
Hi
Explanation:
if a vector →ABAB→ makes an angle θθ with a given directed line l, in the anticlockwise direction, then the projection of →ABAB→ on l is a vector →pp→ with magnitude |→ABAB→| cosθcosθ.
Also, the direction of →pp→ is the same (or opposite) to that of the line l, depending upon whether cosθcosθ is positive or negative. The vector →pp→ is the projection vector and has magnitude |→pp→|. It is also called the projection of vector →ABAB→ on the directed line l.
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