Consider the points P (3, 1, 0) and Q(1, 4, 4).(a) Sketch the triangle with vertices
Chapter 11, Problem 6(choose chapter or problem)
Consider the points \(\mathrm{P}(3,1,0) \text { and } \mathrm{Q}(1,4,4)\).
(a) Sketch the triangle with vertices \(\mathrm{P}, \mathrm{Q}, \text { and }(1,4,0)\). Without computing distances, explain why this triangle is a right triangle, and then apply the Theorem of Pythagoras twice to find the distance from P to Q.
(b) Repeat part (a) using the points \(P, Q, \text { and }(3,4,0)\).
(c) Repeat part (a) using the points \(P, Q, \text { and }(1,1,4)\).
Equation Transcription:
Text Transcription:
P (3, 1, 0)
Q (1, 4, 4)
P, Q, and (1, 4, 0)
P, Q, and (3, 4, 0)
P, Q, and (1, 1, 4)
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