Question

Vector A= 3icap - 4kcap and Vector B= 2icap+2jcap are inclined at angle of 45 degree, find the direction of VECTOR A X VECTOR b

Answer 1

ANSWER and EXPLANATION is above

Answer 2

Explanation:

Given:

Given: a =2 i^ + j^ −3 k^ and

j^ −3 k^ and b =3 i^ −2 j^ − k^a . b =(2 i^ + j^ −3 k^ )(3 i^ −2 j^ −k^ )=6−2+3=7....(1)

∣ a ∣= 2 2 +1 2 +(−3) 2 = 14 ....(2)

∣ a ∣= 2 2 +1 2 +(−3) 2 = 14 ....(2)∣∣∣∣b∣∣∣∣ = 3 2 +(−2) 2 +(−1) 2 = 14 ....(3)

cosθ= ∣ a|. ∣∣∣∣b∣∣∣∣a . b = 14

. ∣∣∣∣b∣∣∣∣a . b = 14 14

. ∣∣∣∣b∣∣∣∣a . b = 14 147 = 21

. ∣∣∣∣b∣∣∣∣a . b = 14 147 = 21cosθ=cos60 o θ=60 o

Hope this will help you buddy...