Let / be the line through the point with coordinates (1,1,1) in the direction of the vector on [? O a. (1, 1, 0) O b. (1, 3, 1) O c. (1,-1, 1) O d. (1,2,0) 1 . Which of the following points (given by their coordinates) lie

Q: 1. Given the points P(5, 3, - 4) and Q(7 - 1, - 3), find the following: a. the vector PO b. PQl

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Q: 3. What value of k will make the line with symmetric equations - (1,−1,3)+s(3,2,2) p vector equation…

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Q: 10. Given points. P(2,5,-1). Q(-1,-4,1), and 7(5,0,2), find: (a) the vector Reg: (b) a unit vector…

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Q: Which of the following points (given by Let / be the line through the point with coordinates…

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Q: Show that direction vectors of the lines 3 L: and

A: We have to find the direction vectors for the lines L1: x-32=y+14=z-2-1 and L2: x-35=y+1-2=z-32.

Q: f(r.y2)4ry t and u is the unit vector in the direction of (4, 2,-5), men the drectional denvative at…

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Q: Let / be the line through the point with coordinates (1,-1,0) in the direction of the vector…

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Q: . The vectors u, v, and w are represented in the standard (xx) coordinate plane below. 10 In what…

A: We need to find the general direction of vector u-v+w

Q: O ich of the following is a vector equation for the line through (-1,2,-2) and parallel

A: We have to find the vector equation for the line through (-1,2,-2)and parallel to…

Q: 5. For the vector OP = (1,4,-2), determine the direction cosine and the corresponding direction…

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Q: 1. Give the vector equation of a line perpendicular to the line L: x= 21-1, y=-31, 1 e R. Are there…

A: Given line: l:x=2t-1, y=-3t, t∈ℝ To find the other line The vector equation of the line is…

Q: 2. For v = (5,-2) and w = (3, 4), find v+w, v - w, v/2, -w and make one sketch labeling all 6 of…

A: Given,           v=<5,-2> and w=<3,4>

Q: Given the points C(-4, –5) and D(-1, 1), express the vector CD in terms of i and j.

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Q: Let P = (3, –2), Q = (1,4), R= (-2,5), S= (-4,6) Find the component and linear %3D combination form…

A: We have to find vectors

Q: Determine whether given vectors spans in R? S={(2,-1,4).(3,–3,5).(1.1.3)}

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Q: 11. Given đ = (2, x, –3) and b = (5,–10,y), for what values of x and y are the vectors collinear?

A: We have to find the values of x and y for which bothe the vectors are colinear

Q: Let / be the line through the point with coordinates (0,0,1) in the direction of the vector…

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Q: Given the points T(6, 2, – 3), R(– 1, 4, – 2) and S(2,5, 1). Find the unit vector directed from T…

A: Please find attachment for the details solution

Q: The vector with terminal point at P(-5,0,3) and initial point at Q(6, 2, –8) is equal to the…

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Q: A) With either points A(2, 3) and C(-2, 11). Determines the components of the CA vector.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 13. Given the points A(3,5) and B( – 3, – 7), find a. the vector equation of the line.

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Q: 12. Given a point P(1,-2,-4) and a point P2(3,1,-5), find a unit vector that has the opposite…

A: Step 1:Step 2: Step 3: Step 4:  thanks...

Q: Q7. Two vectors are defined as A = a,+5a, +3a, and B the following vector is perpendicular to (A+ B)…

A: A vector is a quantity that has both magnitude and direction. It can also be defined as the…