Table of Contents

- 1 How do you find the angle of vector with x and y components?
- 2 When angle between vectors is 45 The magnitude between of their resultant is?
- 3 What is the angle between two vectors of equal magnitude when the magnitude of their sum is the same as the magnitude of each vector?
- 4 How do you find the angle between two vectors of equal magnitude?

## How do you find the angle of vector with x and y components?

Apply the equation theta = tan–1(y/x) to find the angle: tan–1(1.0/–1.0) = –45 degrees. However, note that the angle must really be between 90 degrees and 180 degrees because the first vector component is negative and the second is positive.

## When angle between vectors is 45 The magnitude between of their resultant is?

Answer is (c) [P2 + Q2]1/2. Since resultant is equally inclined at 45° to both P and Q, therefore angle between P and Q is 90°.

**What angle is 45 degree?**

A 45-degree angle is exactly half of a 90-degree angle formed between two rays. It is an acute angle and two angles measuring 45 degrees form a right angle or a 90-degree angle. We know that an angle is formed when two rays meet at a vertex.

**How do you rotate a 45 degree vector?**

If we represent the point (x,y) by the complex number x+iy, then we can rotate it 45 degrees clockwise simply by multiplying by the complex number (1−i)/√2 and then reading off their x and y coordinates. (x+iy)(1−i)/√2=((x+y)+i(y−x))/√2=x+y√2+iy−x√2. Therefore, the rotated coordinates of (x,y) are (x+y√2,y−x√2).

### What is the angle between two vectors of equal magnitude when the magnitude of their sum is the same as the magnitude of each vector?

Complete answer: θ be the angle between both the vectors. Both the vectors have the same magnitude. Let the resultant have magnitude equal to vector A. Hence, the angle between the two vectors is 120°.

### How do you find the angle between two vectors of equal magnitude?

- Two vectors of equal magnitude have a resultant equal to either of them.
- If ∣A +B ∣=∣A −B ∣ then the angle between the two vector is.
- The resultant of two forces, one double the other in magnitude, is perpendicular to the smaller of the two forces.

**How do you find the angle of the resultant vector formula?**

The direction angle θ of the resultant in the Polar (positive) specification is then θ = α + 60°. The Law of Cosines is used to calculate the magnitude (r) and the Law of Sines is used to calculate the angle (α).