For de t. let us c P = (2,2, 2) For all t ER. let us consider the points 1070 . Q = (0,0, t), R= (1, –1, t), S=(-3,2,1+ t). P = (2,2, 2), 270 Which of the following statements is true? %3D O (a) The points P, Q, R, S are vertices of a rectangle for all values of t O (b) The points P, Q, R, S are coplanar whent = 7 OC) The points P, Q. R, S are coplanar for at least one value of t ER Od) The points P, Q. R, S are vertices of a trapezoid for all values of t 2910L

Q: The distance d from P1 = (2, - 5) to P2 = (4, - 2) is d =______

A: We have to find the distance d between P1 = (2, -5) to P2 = (4, -2).

Q: Given the relation 1 1 1 с х C y Make y the subject.

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Q: Consider the points A(3, — 5, 1), B(7, — 1, 0) and C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

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Q: Given the points P(-1,-1,-1), Q(2,3,4), and R(5,7,9) find:PQ x PR

A: P(-1, -1, -1) Q(2, 3, 4) R(5, 7, 9) PQ=(x2-x1)2+y2-y12+z2-z12       = 2+12+3+12+4+12       =…

Q: Find the value of r for which r -B V= -9 || is in the set 5 0 0 -3 5 0 HOO 2 3 -2 2 -3 S = span- r =

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Q: . Given points P(3, – 2) and Q(7, 1), find (a) PQ, (b) |PQ|, and (c) – 2PQ.

A: If A=x1, y1 and Bx2, y2 then, AB→=x2-x1, y2-y1AndAB→=x2-x12+y2-y12

Q: Evaluate . F dr where F(x, y, z) = zi + x²j + yk and C is the line segment from (1,2,3) to (4,3,2).…

A: Given Fx,y,z=zi^+x2j^+yk^. We have to evaluate ∫CF⋅dr, where C is the line segment from 1,2,3 to…

Q: Find m2Q. R 3 mzQ = [ 3.

A: Since the given traingle  △QRS is a right angled traingle  In △QRS         tan(∠Q) = RS/RQ  =>…

Q: Determine if the equation is linear. If so, graph the function. 1. 2x +y=4 xYX.Y) /2/(412) 82,8)…

A: If an equation is linear then the highest power of x is 1 and the equation can be written in the…

Q: Find Duf at P. 2, -k 3' 2 f (x, y, z) = 6x³y°z°; P(2, – 2, 2); u = i+ 3 -

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Q: . Find the coordinates of if M is the midpoint of and M(2,-1).

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Q: The coordinate (5, 5) is the midpoint of A and B. If A is located at (3, 8), then what is the…

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Q: Suppose ū = (0, -3, –2) and ū = (-1, –4, –5). Then: u + v= u – v= v – u= 5u= 2u – 4ū=

A: Givenu¯ =0,-3,-2v¯ =-1,-4,-5

Q: The distance d from P1 = (3, - 4) to P2 = ( - 2, 1) is d =___________

A: Given P1 = (3, - 4) to P2 = ( - 2, 1)

Q: Given that J(9, -4), K(6, -10), L(1, -1), and M(x, 4), find the value of x so that JK LIM.

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Q: 1.5 If A = 5a, + 3a, + 2m, B-a, + 4a, + 6a, C = 8a, + 2a, find the values of a and 3 such that aA +…

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Q: Find fg, fyand f; if f(x,y,z) = x - Vy² + z²

A: Given:     To determine: Partial  derivative  fx, fy, fz

Q: Find the distance between m [-2, 3, 2,0,3, – 13, –5] and n = [4, –1,1, –5, 0, 11, –3].

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Q: Which of the following v will give a linear combination for set S = {(1, 2, -2), (2,–1, 1)}? a. (1,…

A: We need to check which of the given options can be used for writing a linear combination for the set…

Q: Evaluate F. dr along the line segment C from P to Q. F = -7xj; P(8, 3), Q(8, 4) #1 [F F. dr = i

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Q: Let C be the closed contour (blue) given in the below figure. Which of the following is true about I…

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Q: Q2: From the table data below , find (Two ) of the following :- 7-11 43 17- 21 22-26 12 - 16 65 2-6…

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Q: Find the distance between the following two points: (-1, -2) and (-1, 3)

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