Given the equation of a sphere a2 + y? + z2 – 4x + 2y + 2z = -5 Which of the following is the vector equation of the sphere above? 1. г - (2, 1, 1)| —1 2. r – (2, –1, –1)| = 1 |r – (2, –1, 1)| = 1 4. | т- (2, —1, 1)— 1. 5. | r-(2,1, –1) |= 1.

Q: = (4, 1, a), Q = (–2, 0, b) and v = i – 3j + 4k be two points and a vector in R³ respectively. (a)…

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Q: Find the vector equation for the line of intero section of the planes 32-3y + 4z =-5 and X + 5z =0…

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Q: The plane passing through the three points A(4, –3, –4), B(-4, –3,2) and C(-3,3, –2) can be…

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Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (4, –6) + t(1,…

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Q: Find a vector equation with parameter t for the line through the points (–1, –7, –4) and (-9, 8, 2).

A: we know that vector equation of line which passes through pointsx1,y1,z1,x2,y2,z2 is given by…

Q: Let a = (6, −3, −5) and b = (7, -2, 10) be vectors. (A) Find the scalar projection of b onto a.…

A: Let  be vectors.(A) To find the scalar projection of .(B) To decompose the vector  into a component…

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A: We have to find a vector equation with parameter t.

Q: T₁: 2x-y+2z=6 And T₂:X-y+4

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Q: what is the vector equation of the line of intersection of the planes z=5 and x=9

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Q: Please try to answer & explain me this question.   Determines the Cartesian equation of the plan…

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Q: b) Find parametric and vector equations for the line through (2,3,0) perpendicular to the vectors u…

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Q: For this problem, enter your vectors with angle-bracket notation: , not in ijk- notation. (a) F =…

A: The solution are next step

Q: DONT USE AI 4. Consider the line I that passes through the points P(2,0,10) and Q(8,4,9). Answer…

A: Given that the  given line I  is  passes through  the points P  and .(a)  We  have  to  find the…

Q: (14) The straight line L passes through the origin O and is in the direction i+mj. The straight line…

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Q: Give a vector parametric equation for the line through the point (4, 2) that is perpendicular to the…

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Q: 22. Given the symmetric equations t = - and t = +', find the vector equation of the line.

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Q: - 3)² = 81 then, find its ce or a=<3, -1

A: 1. Given: The points are 2,3,-6 and -1, 4, 5 To find the distance between the given points. The…

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Q: 1 -E---Fl 2 V2 = 0 , and v3 = -5 span R³? Why or why not? 3 Do the vectors V₁ = -31

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Q: Ex.2/ Find an equation for the plane through A(-1,1,2), B(2,0,1) and С2,-3,3)

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Q: Q2: If u = 2i +4j- 5k and v= -4i-8j+ak, (1) For what value or values of a will the vectors u and v…

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Q: For parts (a)-(e), please use the following vectors: C = (-1,-1,0) -120°, and 0₂ = 90° A = (2,4,0) B…

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Q: Show every vector operation (e.g., +, *, •, ×) that changes the following vector equation into three…

A: Given that, .