Calculate v xw = (1, 2, 3). v = (9,5,4) w = (-6,4,-5)

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: Find mZVUZ if mZZUT= 16x + 2, | MLVUZ = 24x – 1, and mZVUT = 16

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Q: Which of the points P = (-1,4,-7) and Q = (6,-1,5) is closest to the z-axis? OQ (6,-1,5) OQ (6,-1,0)…

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Q: Let u = (-6,1) and let v = (6,-3). Find the value of u ÷ v

A: If we have two real numbers x and y  x/y=z ; Only is yz=x Similarly

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: Find the cross product x where = 71-7j -4k and 7 = (-4,-3, 4). úxv=

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Q: Find the cross product a × b where a = (0, 3, 4) and b = (5,1,2). axb =

A: Step 1: Step 2: Step 3: Step 4:

Q: Write v as a linear combination of u and w, if possible, where u = (2, 3) and w= (2, -2). (Enter…

A: We want to write v in linear combination of u and w.

Q: Let u = , v = , and w = . find uw

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Q: Find u•v

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

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

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Q: Given u = (-2, 4) and = (1, 6), find 3(uw).

A: The vectors are given by u→ = -2, 4w→ = 1, 6 To evaluate: The value of 3u→·w→

Q: Which 2 points are on the line (x,y) = (3,7) + k(-1,2), k E R Select one: (-1, 2), (3, 7) (3,7), (2,…

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Q: Determine whether u= (-1, 11) is a linear combination of x =(1,3) and y=(2,-1).

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Q: Find the equations for the lines through the point (a, c) that are parallel to and perpendicular to…

A: Given query is to find the equation of the lines

Q: 40. Given a = (3,-4) and b = (1, 2). Find the vector a + 2b a. (5,-8) b.(5,0) c.(4,-4) d. (4,0)

A: Given,

Q: Are the points (−2, 1), (1, 7), and (4, 14) on the same line? Why

A: We are given three points to check if they are linear or not. Three or more points are said to be…