P(1, 0, 1), Q(-2, 1, 3), R(7, 2, 5) (a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R. -8i + 24j + 12k X (b) Find the area of the triangle PQR. √784 2 X

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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Consider the points below.
P(1, 0, 1), Q(-2, 1, 3), R(7, 2, 5)
(a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R.
-8i + 24j + 12k
(b) Find the area of the triangle PQR.
√784
2
X
Transcribed Image Text:Consider the points below. P(1, 0, 1), Q(-2, 1, 3), R(7, 2, 5) (a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R. -8i + 24j + 12k (b) Find the area of the triangle PQR. √784 2 X
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