Question

determine the vector which added to the resultant of vector a = 3 - 5 J + 7 k and B = 2 + 4 J - K Used unit Vector along the Y Direction​

Answer 1

Answer: -6i + j + 4k

Explanation:

Let's call the required vector be C

C = xi + yj + zk

and resultant vector be R = k. ……since it's along z direction x and y component will b zero…and it's unit vector so magnitude of R Will be 1

By law of vector addition,

a + b + c = R

2i-4j-6k + 4i+3j+3k + xi + yj + zk = k

(2 + 4 + x)i + ( -4 +3 +y) j + ( -6 +3 + z)k = k

by equating the co-efficients of i j and k

x = -6

y = 1

z = 4

so

c = -6i +j +4k