Two vectors have magnitudes of 10 and 15

AI Thread Summary
To solve the problem involving two vectors with magnitudes of 10 and 15 at a 65-degree angle, one should visualize the vectors and consider the right triangle formed. The component of the longer vector perpendicular to the shorter vector can be determined using trigonometric functions, specifically the sine function. By applying the sine of the angle between the vectors, the calculation yields the desired component length. The discussion emphasizes the importance of drawing the scenario for clarity and utilizing trigonometry to find the solution. This approach will lead to identifying the correct answer from the provided options.
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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Show your attempt at a solution if this is a homework problem.
 
In fact, I am moving this to the homework forum.

Draw a picture of the situation. Do you see a right triangle? What trig function will help you find the length you want?
 
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