Let p and q be two non-zero vectors. By using the definition of vector product show that pxq = pg-(p-g)*. Hence, use this result to calculate the area of parallelogram with sides p=i-j+2k and q= 2i-j+3k.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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(a)
Let p and q be two non-zero vectors. By using the definition of vector product
show that pxq =A4-(p-g)*. Hence, use this result to calculate the
area of parallelogram with sides p=i-j+2k and q=2i-j+3k.
(b)
Find the equation of the plane passing through the points A(2,2,1), B(9,3,6)
and perpendicular to the plane 2x+6y+6z 1.
Transcribed Image Text:(a) Let p and q be two non-zero vectors. By using the definition of vector product show that pxq =A4-(p-g)*. Hence, use this result to calculate the area of parallelogram with sides p=i-j+2k and q=2i-j+3k. (b) Find the equation of the plane passing through the points A(2,2,1), B(9,3,6) and perpendicular to the plane 2x+6y+6z 1.
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