Question

Two vectors a and b have equal magnitudes of 12 units. These vectors are making angles 30° and 120° with x- axis respectively. Their sum is r. Find the x and y X components of r:​

Answer 1

Answer:

rx = 6(√3 - 1)

ry = 6(√3 + 1)

:

Explanation:

Two vectors a and b have equal magnitude of 12 units these vectors are making angles 30°and120° with x axis respectively their sum is r vector find x and y components of r vector

Vector A = 12 With Angle 30°

Ax = 12Cos30 = 6√3 i

Ay = 12Sin30 = 6j

Vector B = 12 With Angle 120°

Bx = 12Cos120 = -12Cos60 = -6 i

By = 12Sin120 = 12Sin60 = 6√3j

r Vector = (6√3 i - 6 i) + 6j + 6√3j

= 6(√3 - 1)i + 6(√3 + 1)j

rx = 6(√3 - 1)

ry = 6(√3 + 1)