Question

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

Answer 1

Answer:

6(√3 - 1)

6(√3 - 1)

Explanation:

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

a = 12 angle 30°

ax  = 12 Cos30  = 6√3

ay = 12Sin30 = 6

b = 12 angle 120°

bx  = 12 Cos120  = -6

by = 12Sin120 = 6√3

r Vector =

x componet 6√3 - 6 = 6(√3 - 1)

y component = 6√3 + 6 = 6(√3 - 1)