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: Find the area of a triangle formed by the points (8, – 5), – 7) and (5, 1) by using Herones formula…

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

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Q: Confirm that points (1,2,-1), (2, 5,-2) (4,4,-3), (3, 1,-2) are vertices of a rectangle. Then, find…

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Q: Find the coordinates of ABC after a dilation of k = -4

A: The given question can be solved as shown in step 2.

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: Show that the point (5,4,2), (6,2,-1) and (8,-2,-7) are collinear

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Q: Find the area of the parallelogram with vertices at (-1, -3), (-4, 9), (-3, 8), and (-6, 20). Area =…

A: Let A,B,C,D are vertices of Parallelogram. First find distance of any two adjacent side then…

Q: Find B if A is (-4,7) and the midpoint of the line segment AB is (0,1)

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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: The vertices of a triangle are A(-2, 0), B(0, 3), C(2, 2). Translate the triangle 4 units down. What…

A: Given, The vertices of a triangle are A(-2, 0), B(0, 3), C(2, 2) If  the triangle is taken 4 units…