Question

A vector P makes an angle of 100 and Q makes an angle of 1000 with X axis. The magnitudes of three vectors are 0.6m and 0.8m. Find the resultant of these vectors? (in metre)

Answer 1

Answer:

vector P makes an angle of 100 and Q makes an angle of 1000 with X axis. The magnitudes of three vectors are 0.6m vector P makes an angle of 100 and Q makes an angle of 1000 with X axis. The magnitudes of three vectors are 0.6m and 0.8m. Find the resultant of these vectors 0.8m. Find the resultant of these vectors.

Answer 2

R = 1 m

Explanation:

Given: A vector P makes an angle of 100 and Q makes an angle of 1000 with X axis. The magnitudes of three vectors are 0.6m and 0.8m. Find the resultant of these vectors? (in meter)

Find: Resultant R

Solution:

Angle made by vector P = 10°

Angle made by vector Q = 100°

Angle between vector P and vector Q = 100° - 10° = 90°

Magnitude of vector P, |P| = 0.6 m

Magnitude of vector Q , |Q| = 0.8 m

Resultant R = √(P² + Q² + 2PQ cos90°) = 0.6² + 0.8² + 0 (as Cos 90° = 0) = 0.36 + 0.64 = 1 m