Question

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

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)

Answer 2

Answer:

(6√3 - 6) , (6√3 + 6)

Explanation:

Hope it helps u..