In a 2 dimensional Cartesian system, the x-component of a vector is known, and the angle between vector and x-axis is known. Which operation is used to calculate the magnitude of the vector? (taken with respect to the x-component)

a. dividing by cosine

b. dividing by sine

c. multiplying by cosine

d. multiplying by sine

Question

Hodges

Physics

27 April, 07:37

In a 2 dimensional Cartesian system, the x-component of a vector is known, and the angle between vector and x-axis is known. Which operation is used to calculate the magnitude of the vector? (taken with respect to the x-component)

a. dividing by cosine

b. dividing by sine

c. multiplying by cosine

d. multiplying by sine

+2

Answers (1)

Know the Answer?

Chance Mueller · Answer 1

The correct answer is a

Explanation:

The cosine function is

cos θ = ca / H

done ca is the adjacent leg (x-axis) and H is the hypotenuse (vector module)

we clear

H = ca / cos θ

therefore, to find the magnitude of the vector, the cathete is divided into the cosine.

The correct answer is a