Vectors and the trigonometric function

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Homework Help Overview

The discussion revolves around a problem involving two vectors with given magnitudes and an angle between them. Participants are exploring how to determine the component of the longer vector that is perpendicular to the shorter vector using trigonometric functions.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of trigonometric functions to find the required vector component. There are questions regarding the starting point for solving the problem and the validity of potential answers.

Discussion Status

The discussion includes attempts to clarify the steps involved in solving the problem. One participant has sketched a diagram and applied trigonometry to arrive at a numerical result, while others are providing encouragement and seeking further clarification on the initial steps.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can share or the methods they can use. There is an emphasis on understanding the problem setup and the relationships between the vectors.

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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