Evaluate A dr where C is the line joining (0, 0, 0) and (2, 1, 1), given A= (2y + 3)I +xj+(yz – x)k. 91]

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A: -2x+3y-z=1x+2y-z=4-2x-y+z=-3 Here, D=-2  3 -1  1  2 -1-2 -1    1,  Dx=  1  3 -1  4  2 -1-3 -1    1,…

Q: Find real numbers x, y and z such that (x + 4)i + (y – 5)j + (z – 1)k = 0

A: To Determine :-  The real numbers x , y and z  such that   x + 4  i +  y -5  j +  z - 1  k =0

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Q: V(12r), v°(-8r)

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A: answer is in next step

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Q: Let →a=⟨7,−5⟩ and b→=⟨1,3⟩. Compute the dot product. →a X →b=

A: Given a→ = 7,-5 and b→ = 1, 3. We have to compute the dot product a→·b→.