Question

(USE THE GRAPH) Vectors B and C and are shown in the graph. Vector B is multiplied by the scalar 92. What angle does the new vector make with the x-axis?​

Answer 1

Answer:

The angle the new vector makes with the x-axis is 33°

Explanation:

By multiplying a vector with a scalar, we multiply the similar components of the two quantities which is the magnitude of the scalar quantity and the magnitude of the vector with the new vector formed will have a magnitude equal to the product of the two magnitudes and the same direction of the original vector as follows;

The magnitude of the vector B = 5.6

The magnitude of the scalar = 92

The product of the two magnitudes = 5.6 × 92 = 515.2

The magnitude of the new vector = 515.2

The direction of the new vector = 33° South of West

Therefore, the angle the new vector makes with the x-axis = 33°.