Let u be the vector with initial point P(8, -1) and terminal point Q(-8, 3). (a) Graph u in the coordinate plane. -10 u= O -10 (b) Express u in terms of i and j. (c) Find the length of u. |u| 10 -5 -10 10 12 -5 -10 5 X 10 10 -10 -10 5 5 10 -5 -10 10 -51 -10 5 X 10 X 10

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: Let L₁ be the line passing through the points Q₁-(-1.-3, 1) and Q₂-(-4,-6, 2). Find a value of k so…

A:

Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

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: Vector p = Vector n Calculate the total sales of all the bicycles. 239, 193, 219 > represents the…

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Q: Suppose vector a= (4, -6, 10) and vector B= (-6, 9, -15). What is a x b?

A: topic - vectors

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: 5) 5 li) Given that the vectors a and b are parallel, find the value of x when ()- 4 a and b = 8…

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Q: Let U=(-4, 3, 3) and V=(2, 1, 1). Find (2U+V), *. | (then find | (2U+V

A: Find 2U+V and it's magnitude.

Q: Determine the x-intercepts of the following equation. (-x+ 5)(-a - 2) = y | O (5,0) and (-2,0) O…

A: The objective is to determine x - intercepts of -x+5-x-2=y       ...... (1) To find x - intercepts,…

Q: Let Lz be the line passing through the point P-(10, 1. –10) with direction vector d--2, -2, 3]", and…

A: We will use formula for the shortest distance.

Q: In the coordinate plane, Point B is 1 unit directly above Point A. When Points A and B are reflected…

A: Given that point B in coordinate plane is 1 unit directly above point A Points A and B are reflected…

Q: What is the point of intersection of the two functions? 12) y--3x-23 -2r+4y-6 A) (-2, 3) C) (-3, 2)…

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Q: Find u · v, u · u, ||v||². (u - v)v, and u · (3v). u = (3, 12), v = (-2, 3) (a) u. v (b) u.u (c)…

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Q: Perform the indicated operations for the given vectors. r=(4, 7), -(10, -10)..-(1, -6) Find v+s-r…

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Q: 9) Find the equation for the line in space passing through the point (-2,2,-2) and parallel to the…

A: Let two points are so equation of line passing through above two points is given as follows