Let a = (-3, 0, 4) and 6 = (0,4,-4). Find the projection of 5 onto ā. proj₁ =< b 48 64 0 25 × > 25

Q: What is the coordinates of P₁ if (1,-2,8) is the midpoint between P₁(x1,1,Z1) and P2(-4,5,6)?…

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Q: 3. Rectangle PQRS with P(4, 0), Q(3, -3), R(-3, -1) and S(-2, 2); translate . =-'43

A: Consider the vertices of the rectangle PQRS with P4,0, Q3,-3, R-3,-1, and S-2,2. Draw a rectangle…

Q: Find the area of the triangle in the plane with vertices (3, 2), (7,3), and (6, -7). Area = 0

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Q: Find the Center and radius of the Cirele x?+y²+4X-6y -320

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Q: 8. (S.15). Write P20 r2+2r-1 as a linear combination of the polynomials P21 r-r- 2, P22 2r2-r+3, P23…

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Q: Find A x Bx C where A = {4,6},B={14,18} , C = {0}. O (4,14,0), (4, 18,0), (6, 14, 0), (6, 18, 0) O…

A: given A={4,6}B={14,18}C={0}

Q: If a=[5,-2,4] and [0,-2,3], find a -16 O [-2,15,10] [2,-15,-10] O [-2,-15,10] 10 xò.

A: a→=[5,-2,4]b→=[0,-2,3]

Q: Find A x B x C where A = {2, 5}., B = {13, 17}, C = {0} . O (2,13,0), (2, 17,0), (5, 13, 0), (5, 17,…

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Q: let a1 is (-3,2,6) a2 is (-9,-7,-2) and b is (-18,-27,-23). Is b in the span of of a1 and a2

A: The objective of this question is to determine whether the vector b is in the span of vectors a1 and…

Q: Find a and b if the segment with endpoints (1 - 2a, b) and (3a, 3b + 2) has midpoint of (2, 5). How…

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Q: Let f {(0,-3),(9,4),(-6,9)} and h={(-6,4),(-3,9)}. Find fo h. foh= (Use a comma to separate ordered…

A: The given functions  and .The objective is to find the composition function .

Q: Find the distance of PQ P(-3, -9) and Q(12, -11)

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Q: -5x-y-6z -74 リ-6z = -74 -4x + 8y-6z = -50 -4x - 3y+ z = -23

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Q: Find the polynomial that interpolates the points (-2,4), (-1,0), (2,-1), (2.5,0), (3,1), (4, 2). Use…

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Q: Find a natural cubic spline interpolating the data (-1, 13), (0,7), (1,9)

A: Writing data in table format x -1 0 1 y 13 7 9 Formula for natural cubic spline is:…

Q: Find the area of the quadrangle with vertices Area = (5,1). (-4, 5). (-3,-4), and (4, -3).

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Q: Let a = (1, 3, 8) and b = (7, 3, 4). Compute 5a + 7b

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