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.] -

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.