Find the Component of Two Vectors

In summary, the problem involves two vectors with magnitudes of 10 and 15, respectively, and an angle of 65 degrees between them. The question asks for the component of the longer vector along the line of the shorter vector. To solve this problem, a picture can be drawn and simple trigonometry can be used. One of the given numbers is not needed for the solution.
  • #1
josh84
8
0

Homework Statement


Two vectors ahve magnitudes of 10 and 15. The angle between them when they are drawn with their tails at the same point is 65 degree. The component of the longer vector along the line of the shorter is:
A) 0
B)4.2
C)6.3
D)9.1
E)14


Homework Equations





The Attempt at a Solution

 
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  • #2
Any attempt at the solution? Is the 65 degrees assumed to be from the x-axis or is it not 65 degrees from the x-axis and just on the plane?
 
  • #3
you need to show work b4 help is given ... you have 2 posts currently w/ no work, i doubt anyone will help you to the extent that you'd like.

what eqn do you think will be useful in this prob.?
 
  • #4
One easy attempt at a solution would be to draw a picture. In this case, it comes down to simple trig. Hint: one of the numbers isn't used in the solution.
 

FAQ: Find the Component of Two Vectors

What is the definition of a vector?

A vector is a mathematical quantity that has both magnitude and direction. It is represented by an arrow, with the length of the arrow indicating the magnitude and the direction of the arrow indicating the direction.

What is the difference between a scalar and a vector?

A scalar is a mathematical quantity that only has magnitude and no direction, while a vector has both magnitude and direction.

How do you find the component of a vector?

To find the component of a vector, you must break the vector down into its horizontal and vertical components. This can be done using trigonometric functions such as sine and cosine.

What is the law of vector addition?

The law of vector addition states that the sum of two vectors is a vector obtained by placing the initial point of the second vector at the terminal point of the first vector. This can also be represented mathematically as A + B = C, where A and B are the two vectors and C is the resultant vector.

How do you find the resultant of two vectors?

The resultant of two vectors can be found using the Pythagorean theorem and trigonometric functions. First, find the horizontal and vertical components of each vector. Then, use the Pythagorean theorem to find the magnitude of the resultant vector, and use trigonometric functions to find its direction.

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