Question

the angle made by the vector A is equals to ICAP + jcap with x axis is

Answer 1

Answer:

45°

Explanation:

please check the pic attached

Answer 2

Answer:

The angle made will be 45°.

Explanation:

We know A = i + j

And, Ax = 1

Ay = 1

Angle θ = tan⁻¹($\frac{Ay}{Ax}$)

= tan⁻¹($\frac{1}{1}$)

= tan⁻¹(tan 45°)

θ = 45°

The above solution is based on the scalar product and vector product analysis.

What are a vector and a scalar product?

The two methods of multiplying two separate vectors scalar products and vector products find the most use in physics and astronomy. The sum of the magnitudes of the two vectors and the cosine of the angles separating them is known as the scalar product of two vectors. A scalar quantity has only one dimension, and its magnitude alone can be used to describe it. Among others, are bulk, speed, and distance. In contrast, vector quantities have both a magnitude and a direction. For instance, distance traveled, speed, acceleration, force, etc.

Thus, quantities known as scalars can be fully defined by a single magnitude (or numerical value). Quantities that can be fully defined by both a magnitude and a direction are called vectors.