Given ú x ở = (2, 3, – 3), find (ủ – 4v) × (ú + 3v).

Q: Find å · b for å = (4,1, →) and b = (6,–3,–8).

A: Topic:- dot product of vectors

Q: Show that A×(BxC) + Bx(CxA) + Cx(AxB) =0.

A: We have to prove that LHS=RHS

Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

A:

Q: when y = In(2x – 4x). -

A:

Q: Find L{t?e-4t - e-2tsin (v2t)}

A:

Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:<56,-23,-37>Explanation:

Q: (1) How much is 0! ? (by convention on). 0!

A: (1) Given

Q: Determine |z| if z =2−3i.

A: z = x +i*y |z| = √(x2 + y2)

Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

Q: 2 1 x²dx -3x

A: Given:

Q: a. A random variable X has the following probability distribution: 0 x 18 5 x 18 10 x 18 15 x 18 20…

A: Given, X 0 90 180 270 360 450 P(X=x) 0.1 2m 0.2 0.1 0.04 0.07 Here,…

Q: Find VW 2x - 7 2x - 14 | U • V. 15

A:

Q: 2 -1 2 2.

A:

Q: let v = (−2, 5) and w = (3, −2) Calculate 5w − 3v and 5v − 3w

A: Consider the given vectors. v=-2,5w=3,-2 Now, find the value of the vector 5w − 3v.…

Q: Find (3u − v) ∙ (u − 3v) when u ∙ u = 8, u ∙ v = 7, and v ∙ v = 6.

A: Given, u ∙ u = 8 u ∙ v = 7  v ∙ v = 6 To find:   (3u − v) ∙ (u − 3v)

Q: Find a × b if b = (–6, 9, —15) and à = (4, −6, 10) (-3,-2,0) (0,0,0) (1,-1,-1) (-24,-54,-150)

A:

Q: The i-component of +t is

A:

Q: (Vx + Vx – Vx –

A:

Q: = (2xy + z² )i + (x² +z)j + (y + 2xz)k, determine a possible value for .

A:

Q: Find

A:

Q: If A = 3j + 2k, B = 2i – 2j – 2k then Ax B

A: Use cross product of vector

Q: [2 1 31 1. If A 4 1 1 3, find A-1 L5 4 21 2. Is the formula valid for matrices? explain why? (A + B)…

A: 1)  We have given that , A = 213413542 We need to find , A-1 . To find the inverse matrix, augment…

Q: Given u x 7 = (-1,4, -2), find ( − 3v) × (u + 5v).

A:

Q: Find (u + v) ∙ (2u − v) when u ∙ u = 4, u ∙ v = −5, and v ∙ v = 10.

A: u·u=4,  u·v=-5  &  v·v=10