Question

A vector A is represented by a straight line of length 2cm, making 30° with positive X-aixs in anti clock-wise direction. B: Another vector is also represented by a straight line of length 2cm making 30° with negative X-axis is clock wise direction. A+B is​

Answer 1

Angle between a an b is 90°.

|a+b|=2√2

Angle between |a+b|=45°

Answer 2

Angle between A + B is 45

Explanation:

Angle between a and b

(90 -30) + 30

= 90

|A+ B| = $\sqrt{a^{2}+ b^{2} }$

= $\sqrt{2^{2} + 2^{2} }$

= $\sqrt{4 + 4}$

= $\sqrt{8}$

tanα = $\frac{90}{2}$ = 45