7. Let u = (-4, 2, 3), v = (5,0, –7), and w (7,-2, –5). Find the components of (a) -u + (v – 3w) (b) (4v – w) – (4u + v)

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A: Given the vectors v=i−4j+2kw=3i+2j+k

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A:

Q: Find u − v, 2(u + 3v), and 2v − u. u =  (6, −7, 8, 3),       v = (−2, , 7/3, −8/3 , −1)

A:

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A: We have to prove that LHS=RHS

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A: Given : u =0,2,1v = 1,-3,4(a) u x v = ijk0211-34u x v =i 21-34    -j0114  +k021-3          = i(8+3)…

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A: We need to find cross product.

Q: V(A - B) = A x (V x B) + B x (V x A) + (A - V)B + (B V)A,

A:

Q: Given the universal set U = {x|xel, -10 <x<10 } A = {-2, -1, 0, 1, 2, 3 } B = { 2, 3, 4, 5, 6, 7} C=…

A:

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A: Given the given function is gx,y=xlnx+y,    x,y=-2,3. Apply gradient formula ∇f=∂f∂xi+∂f∂yj

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A: Consider the given: Given equation:1,2,3×v=−1,2,aLet v=x,y,z1,2,3×v=ijk123xyz…

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A:

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A: z = x +i*y |z| = √(x2 + y2)

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A: given vectors

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A: TOPIC:- VECTOR ALGEBRA

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A: a). b).

Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

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A:

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A:

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A:

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A: Hey, since there are multiple subparts are posted, we will answer first three subparts.

Q: Given u = 21+j-6k and v = i-4j+ 3k, find (u•v)v. O (u•v)v =-20i+ 80j–60k O (u•v)v=-40i–20j + 120k O…

A:

Q: If a 10î + 10f + 5k, b = 5i – 2j – 14k, è = 4î + 7j – 4k , find the value of å x (b x 2).

A: The cross product of two vectors a=a1i+a2j+a3k ,b=b1i+b2j+b3k can be calculated using determinant…