Question

What is the magnitude of a vector whose x-component is 2 units and whose angle is 60∘?; Vectors →A and →B are equal in magnitude and opposite in direction. Does →A−→B have the same direction as vector →A or →B?

a) 2 units, →A
b) 2 units, →B
c) 1 unit, →A
d) 1 unit, →B

Answer 1

The magnitude of the vector is 2 units. Vector →A-→B has the same direction as vector →A.

Step-by-step explanation:

The magnitude of a vector with an x-component of 2 units and an angle of 60° can be determined using the formula:

Magnitude = x-component / cos(angle)

Given x-component = 2 units and angle = 60°, plugging in these values into the formula yields:

Magnitude = 2 / cos(60°) = 2 units

Therefore, the magnitude of the vector is 2 units.

For the second part of the question, when subtracting vector →B from vector →A, the resulting vector →A-→B has the same direction as vector →A.