Determine a vector equation for each line. a) perpendicular to line 4x - 3y = 17 and through point P(-2, 4) b) parallel to the z-axis and through point P(1, 5, 10) c) parallel to [x, y, z] = [3, 3, 0] + t[3, -5, -9] with x-intercept of - 10. - d) with the same x-intercept as [x, y, z] = [3, 0, 0] + t[4, 4, 1] and the same z-intercept as [x, y, z]= [6, -2,- 3] + [3, -1, -2].

Q: Find b such that (2, -1), (3, 2), and (b, 5) lie on a line.

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Q: Which of the points P = (-1,4,-7) and Q = (6,-1,5) is closest to the z-axis? OQ (6,-1,5) OQ (6,-1,0)…

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Q: Find the cross product x where = 71-7j -4k and 7 = (-4,-3, 4). úxv=

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Q: Give the vector equation of the line passing through P and Q. P = (5,2), Q = (3, 0) X = + t 00

A: To find the vector equation of the line passing through P and Q.P=5, 2, Q=3, 0

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: plot the ordered pairs(2,-3) and (3,5) on the Cartesian Plane. draw a line that passes through these…

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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.