1. The parts of this question are not directly related. (a) Let a = (x + y)i + 2j + yk and b= 3i+ (4.x + y+ 1)j + 4k. i. Find values of x and y such that a lb. ii. Find values of x and y such that a|b. [Hint: Assume that b for some scalar value c. = ca (b) Let a, b, and c be three arbitrary vectors in the plane 3x – 5y + 6z = 7 (so you don't know their components – the exact components are not necessary to answer this question). Compute (-a + 4b – 7c) · (–3i + 5j – 6k). [Hint: Use the properties of the Dot Product, listed in your textbook.] -

1. The parts of this question are not directly related. (a) Let a = (x + y)i + 2j + yk and b= 3i+ (4.x + y+ 1)j + 4k. i. Find values of x and y such that a lb. ii. Find values of x and y such that a|b. [Hint: Assume that b for some scalar value c. = ca (b) Let a, b, and c be three arbitrary vectors in the plane 3x – 5y + 6z = 7 (so you don't know their components – the exact components are not necessary to answer this question). Compute (-a + 4b – 7c) · (–3i + 5j – 6k). [Hint: Use the properties of the Dot Product, listed in your textbook.] -

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Differential Equations

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