7. Let V₁ = [₁], 8. (a) Describe the SPAN{V₁} and sketch a picture of it. (b) Describe the SPAN{V₁, V2). V2=

Q: Let v1 vector=[−4  h] and v2 vector =[−10   20]   (check image for reference) Then span(v1…

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Q: Parameterize the line connecting the points P = (1, 1, 2) and Q = (-2,0,3).

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Q: 3,0 on a coordinate plane

A: we have to plot (3,0) on a coordinate plane using graph we can plot (3,0) on coordinate plane as…

Q: What are the coordinates of P(23t/2)? А. (-1, 0) В. (1, 0) С. (0,1) D.(0,-1)

A: Solution

Q: The distance from the origin to the line passing through the points (0, 1,3) and (1,-1,2) is 14.

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Q: D-H 3,V2 = (a) For what values of h is v3 in Span {V1, V2}? Justify your answer. Problem 3. Let V₁…

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Q: Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate…

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Q: 9 Find the distance from the point (-7,-3,4) to the xy-plane.

A: Distance of a point (a,b,c) from the plane lx+my+nz=p is (la+mb+nc-p)/sqrt(l^2+m^2+n^2)

Q: The line through the points (-3, 8, --4) and (1,0, 8) intersecta the B. (0,2,5) C. (5,2,0) D. (0,5,…

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Q: Determine if x = Span(V₁, V₂). X = G V1 = V2 =

A: The vectors are,.The objective is to determine the vector .

Q: The distance from (-3,-4,-7) to the xz-plane is (A) -4 (B) (C) -3 (D) 3 (E) 4.

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Q: Find the midpoint and distance for A (0, 3), B (0, 12) and A (12, 6), B (-8, 18)

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Q: Sketch the second order spline that fits the end points PO (0,0), P2(9,4) and tangents intersection…

A: Here we need to sketch the second order spline that fits the end points P0 0,0, P2 9,4 and tangents…

Q: Find the coordinates of the midpoint P and Q  P(h, k), Q(h, 0)

A: GivenPh,k,   Q h,0MidpointM=x1+x22 , y1+y22

Q: Give the coordinates of X-intercept for the line Y = 2(x – 1) + 7.

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Q: What is the distance between points (0,0) and (-3,4)?

A: Given points are  We know that distance between the points (x1,y1) and (x2,y2) can be calculated by…

Q: Q2) Find the distance between the line y= - (x+2 ) & the center of the circle y + x – 4(x+ y )= 9

A: The center of the circle x2+y2-2ax-2by+c=0 is a, b Therefore, the center of the given circle…

Q: 3. Give a geometric description of Span{V₁, V2, V3}. 8 (a) V₁ = 2 V₂ = 3 V3 8 (b) V₁ = 2 3 (c) V₁ =…

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Q: 2. (a) Find the distance between (-5, 7) and (2, -3). (b) Find the midpoint of the segment whose…

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Q: What is the distance between G(-4,1) and point (-12,1)

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