Vectors and the trigonometric function

AI Thread Summary
The discussion revolves around solving a problem involving two vectors with magnitudes of 10 and 15 and an angle of 65 degrees between them. The key to finding the component of the longer vector perpendicular to the shorter vector lies in using trigonometric functions. By sketching the vectors and applying the sine function, the calculation reveals that the component is approximately 13.6. This confirms that the correct answer is option d) 13.6. The use of trigonometry is essential for solving vector problems involving angles.
nath_quam
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Hey I'm just having trouble with this question

Two vectors have magnitudes of 10 and 15. The angle between them when they are drawn with their tails at the same point is 65 deg. The component of the longer vector along the line perpendicular to the shorter vector, in the plane of the vectors, is:

a)0
b)4.2
c)9.1
d)13.6
e)6.3

Thanks Nath
 
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dear Nath , i think you can solve it by trigonometric function.

which step you are not clear,or you just can't sure whether the right answer is in the abcde.
 
i'm unsure where to start

Nath
 
i just worked it out...i sketched the picture and used trigonometry

sin65° = x/15

Therefore: .x = 15·sin65° ≈ 13.6
 
clever guy. i knew you can do it
 

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