Vectors and the trigonometric function

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SUMMARY

The discussion centers on calculating the component of a vector along a line perpendicular to another vector using trigonometric functions. Given two vectors with magnitudes of 10 and 15 and an angle of 65 degrees between them, the correct calculation involves using the sine function. The solution derived is x = 15·sin(65°), resulting in approximately 13.6, confirming option d) as the correct answer.

PREREQUISITES
  • Understanding of vector magnitudes and directions
  • Knowledge of trigonometric functions, specifically sine
  • Ability to visualize vector components in a plane
  • Familiarity with angle measurements in degrees
NEXT STEPS
  • Study vector decomposition techniques in physics
  • Learn about the Law of Sines and its applications
  • Explore advanced trigonometric identities and their uses
  • Practice problems involving vector angles and components
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Students in physics or mathematics, educators teaching trigonometry, and anyone interested in vector analysis and applications in real-world scenarios.

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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