Find u · (v × w). u = <3, 0, 0> v = <10, 10, 10> w = <0, 3, 3>

Q: Find g(u(x, y), v(x, y)) if g(x, y) =ysin(x2y), u(x, y) =x2y3 and v(x,y)=πxy.

A:

Q: find ---y (a) u•v, (b) u•u, (c) ||v ||2, (d) (u• v)v, and (e) u • (3v).

A: Disclaimer: Since you have asked a question with multiple sub-parts, we will solve the first three…

Q: Find the distance between u and v. u = (0, 1, 2), v = (4, 1, -1) d(u, v) = ||

A:

Q: Find vectors u and v whose initial and terminal points are given. Determine whether u and v are…

A: The u vector can be computed as: u=6-1i+11-1ju=5i+10j

Q: Find x; y; z; t where 3 (, ) = (_; )+(,÷, **) 6 4 x + y\ \z +t 1. O x = 2,y = 4,z = 2,t = 3 2. O x =…

A: Find x,y,z,t

Q: Find (u+v).(2u-v) given that u.u=4, u.v=-5 and v.v=10 Determine if u and v are orthogonal…

A: Given, u·u=4, u·v=-5, v·v=10

Q: then ö(x, y) he value of fC

A:

Q: the distance between u = (-1,2,5) and v = (3,0,1)

A:

Q: Find the distance between u and v. u = (-1, 0, 0, 4), = (0, 0, 4, 4) V =

A: Distance between two vectors can be calculated by subtracting the vectors and taking the square root…

Q: Find f, (x,y) and f, (x,y). Then, find f, (3, - 4) and f, (4, - 3). f(x,y) = - 7xy +6y +3 fx(X.y) =

A:

Q: 2. S → (T → U) U → -U (V → S) ^ (W → T) .. V → ~W

A:

Q: Let u=(1,2,3) and v=(4,5,6). Then u and v are A. Pointing in the same direction B.Pointing in…

A: Let u=(1,2,3) and v=(4,5,6) When two vectors are in same direction then the angle between the…

Q: Q.2: Find u x v, where a: u = (1,–3,4) & v = (3,4, 7), ats b: и %3D (1,2,3) &v %3D (1,5, 2).

A: Given: a u=1, -3, 4 and v=3, 4, 7b u=1, 2, 3 and v=1, 5, 2 To Find: u×v=?

Q: af Find and ду f(x, y) = y +1 x+y

A: Explanation of the solution is given below....

Q: Find the distance between u and v. u = (-1, 0, 0, 3), v = (0, 0, 3, 3) %3D d(u, v) = %3D

A: Givenu=(-1,0.0,3)v=(0,0,3,3)we know that distnace between two…

Q: Let u=(-1,2,-7) and v=(4,-8,28). Then v and u are A. Pointing in the same direction B.Pointing in…

A:

Q: c) Find u (v x w) if u = [0,0, p], v = [0, q, 0] and w = [r,0,0]. %3D

A:

Q: Find the distance between u and v.u = (0, 1, −1, 2), v = (1, 1, 2, 2)

A: Given:U=(0,1,−1,2)V=(1,1,2,2)To determine the distance betweenU and V.

Q: Find u x v, v x u, and v X V. u=i-j, v=j-k

A:

Q: Let f(z) = 5z2 + 3z.  Find u(x,y) if z = 8.2 + 5.9i

A:

Q: For the vectors u = -2,2,-1) and v = (- 2,1, -3), express u as the sum u = p n, where p is parallel…

A: From the given condition:

Q: x = u - v2, y = u + v (x, y) = (u, v)

A: Given , x = u - v2 , y = u + v

Q: For the vectors u = (-4, - 1, - 1) and v = (1,-3,2), expressu as the sum u = p n, where p is…

A: We have been given two vectors u and v as shown below and we have to express vector u as a linear…

Q: For the vectors u = (4, – 1) and v = (- 4,1), express u as the sum u = p+n, where p is parallel to v…

A: Here we have, u=4,-1 and v=-4,1 ⇒u=4i-jv=-4i+j Here we have to find u=p+n  Where p=Parallel to v and…

Q: find u ·v. u= [ 1,√2,√3, o],v= [ 4, -√2,0,-5]

A:

Q: uxx + uyy =0, 0<x<a, 0 <y<b, B.C. u(x, 0) = 0, u(x, b) = f(x), 0 ≤ x ≤ a, ux(0, y) = 0, ux(a, y) =0,…

A:

Q: Why is u(x,t)=x(x)t(t). Isn't v(x,t)=x(x)t(t). Can you please explain it to me

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 15) - (-) 3 v = O parallel O…

A:

Q: find the distance d(u, v) between u and v in the given exercise.

A: We need to find the distance between the two vectors.

Q: A) f(x,y,z) = 2x + y – z , Q = {(x, y, z): 0 < x, z < 2,-2 < y< 2}

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Let u = (a, b, c) and v = (9, 10, 11). If u is parallel to (1,0, –1) and the proj along v is 10 202…

A:

Q: Find ||u||, ||v||, and ||u + v||. u = -2, V = 5, (a) ||u|| (b) ||v|| (c) ||u + v||

A:

Q: R(t) = −0.3t2; R'(3) R '(3) =   1B. U(t) = 5.3t2 − 1.7t; U'(3) U'(3) =

A: Differential formulas we need to used here is; Power Rule: (d/dx) (xn ) = nxn-1

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = e-xyz

A: Given fx,y,z=e-xyz Partial derivative means differentiating with respect to one variable keeoing…

Q: Find fx (x,y) and f, (x,y). Then find fx (2, -1) and fy(-4,3). f(x,y)= ex+y+5 fx(x,y)=

A:

Q: A v xu u = (1,3,-3), v = (4,0.2) T......

A: Let's find.

Q: Find 2 (v x u), given u x v = (-, 5, 8). %3D

A: u×v=-83, 5, 8

Q: Find the distance between u and v.u = (1, 2, 0), v = (−1, 4, 1)

A: Distance between the two points :P1x1,y1,z1P2x2,y2,z2d=x2-x12+y2-y12+z2-z12d→distance

Q: (x, y, z) = ( i i

A: Given that Length of vector = 6√3 We have to find component of vector.

Q: Find the distance between u and v. u = (3, -3), v = (-3, 3) d(u, v) :

A:

Q: Find projy u. v = 7i-3j+ k, u = -4 j+ 3 k 60 45 j+ k 59 59 O 105 i- 59 45 15 k 59 59 9 9. +k

A:

Q: Find the distance between u and v. u = (-2, -1, 1, 2), v = (-1, –1, 2, 2) d(u, v)

A:

Q: Find u × v, v × u, and v × v. u = 4i + 8k v = 4i + 8j – 4k. (а) ихv (b) v × u

A: We have to find

Q: Express vector vectos in s-Źui,Uz,U37. where u-[6 linear Combinatione uI Uz Where U=[6 6olins |-8…

A: Given vector is y.

Q: Let F(x, y, z) = x² 7 + y? 3 + 3zk. Then divF(x, y, 2) is: x3 3z2 3 3 2л + 2у + 3 2x i + 2yj + 3 k…

A:

Q: 1. R(t) = −0.3t2; R'(3) R '(3) =   1B. U(t) = 5.3t2 − 1.7t; U'(3) U'(3) =

A: 1. R(t) = −0.3t2; R'(3) R '(3) =   1B. U(t) = 5.3t2 − 1.7t; U'(3) U'(3) =

Q: Find f'(3), where f(t) = u(t) · v(t), u(3) = (1, 2, -2), u'(3) = (4, 0, 7), and v(t) = (t, t², t³).

A: Introduction: The outside-inside rule, composite function rule, and function of a function rule are…

Q: Find the distance between u and v.u = (−1, 2, 5), v = (3, 0, −1)

A: to find the distance between u and v where u = (−1, 2, 5), v = (3, 0, −1) we use the Euclidean…

Q: et V xu u = (1,3,-3), v = (4,0,2) e l -3 %3D ......

A: Given:            u=1,3,-3            v=4,0,2 The cross product of two vectors is…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.