Question

14. A unit vector orthogonal to the plane that contains the vectors \( \vec{a} = (2, 1, -1) \) and \( \vec{b} = (1, -2, 1) \) is

Name: 14. A unit vector orthogonal to the plane that contains the vectors a⃗ = (2, 1, -1) and b⃗ = (1, -2, 1) is
Uploaded: 2023-08-24T12:08:43-08:00
Duration: 2 min 13 s
Channel: Sri K
Description: 14. A unit vector orthogonal to the plane that contains the vectors a⃗ = (2, 1, -1) and b⃗ = (1, -2, 1) is

          14. A unit vector orthogonal to the plane that contains the vectors \( \vec{a} = (2, 1, -1) \) and \( \vec{b} = (1, -2, 1) \) is

Added by Tyler H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

08/24/2023

Step 1

To find a vector orthogonal to the plane containing vec(a) and vec(b), we need to compute their cross product. The cross product of two vectors is given by: vec(a) x vec(b) = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1) where a1, a2, a3 are the components of vec(a) Show more…

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A unit vector orthogonal to the plane that contains the vectors vec(a)=(:2,1,-1:) and vec(b)=(:1,-2,1:) is 14, A unit vector orthogonal to the plane that contains the vectors a =(2,1,-1 and b=(1,-2,1 is