Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Plz correct solution.
Consider the parallelepiped P in R³ determined by the vectors u=[−2−1 −2], v = [−3_1 1] and w = [18–10]. Use the parallelogram determined by u and v as the base of P. (a) Find the area A of the base of P. A (If needed, enter √ as sqrt(x).) (b) Find the volume V of P. ν (c) Find one vector n orthogonal to the base of P so that the volume of the parallelepiped determined by u, v, n equals the volume of P.
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Transcribed Image Text:Consider the parallelepiped P in R³ determined by the vectors u=[−2−1 −2], v = [−3_1 1] and w = [18–10]. Use the parallelogram determined by u and v as the base of P. (a) Find the area A of the base of P. A (If needed, enter √ as sqrt(x).) (b) Find the volume V of P. ν (c) Find one vector n orthogonal to the base of P so that the volume of the parallelepiped determined by u, v, n equals the volume of P.
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Step 4: Part (c)
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Step 5: vector n
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