What is the unit vector that is orthogonal to the plane containing <3,−6,2> and <3,2,1>?

1 Answer
ali ergin
Feb 21, 2016

(−10√685⋅i+3√685⋅j+24√685.k)

Explanation:

step 1:Find cross product of two vector
the cross product of two vector in the same plane is perpendicular to the plane
let →C=→AX→B
→C=i(ay⋅bz−az⋅by)−j(ax⋅bz−az⋅bx)+k(ax⋅by−ay⋅bx)
→c=i(−10)−j(−3)+k(24)
→C=−10i+3j+24k
step 2:Find magnitude of the vector of →C
||c||=√(−10)2+32+242
||c||=√100+9+576
||c||=√685
step3:use:→C||c||
−10i+3j+24k√685
(−10√685⋅i+3√685⋅j+24√685.k)

Related questions
See all questions in Vector Operations
Impact of this question
1431 views around the world
You can reuse this answer
Creative Commons License