p+q Consider the function f(p, q, r) = w = 2. af with p = v²w³ + u, q = w³ + v², and r = uv³ + 1. Evaluate when u = 1, v = 3, and du

Q: Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

Q: Differentiate. x3 7) y = X- 1

A: Given : y = x3x-1

Q: F .2 .2 x- +y at A=(2, 3), B=(-2, 2) and C=(3, -4).

A: 1.) div F at A(2,3) = <4,6>2.) div F at B(-2,2) = <-4,4>3.) div F at C(3,-4) =…

Q: Calculate v x w: v = (5,6,2), V X W W = (5, 4, 7)

A: Step 1: Step 2: Step 3: Step 4:

Q: Find u•v

A: As   u = -12,2         v = 1,6   So,  u→=-12 i+2 j        v→= i+6 j

Q: Find all values of x so that u · u = 50, where

A: Given u·u=x34.

Q: For the function h(x,y) = 6x + 7y xy-5 7 əh find and ?x əh dy

A:

Q: Express the following as a linear combination of u = (6, 1, 7), v = (1, -1, 4) and w = (1, 8, 7).…

A:

Q: M] - [8] x+y -3x+y.

A:

Q: Calculate v × w, where v = (−2, 1, 4) and w = (3, 2, 5).

A: Given: v = (−2, 1, 4) and w = (3, 2, 5)

Q: Solve for w where u = (1, 1, 0, -1) and v (0, 3, -1, 2). w + 4v = -3u %3D

A:

Q: uppose ū = (1, −3,−1) and v = (1, -5, -5). Then:

A:

Q: What is WX? X WX = Submit U W 5

A: