(a) Show that the point P(5,0,0) lies in the plane r + 2y + 6z = 5 and the point Q(1, –2, 4) does not. %3D (b) Find the scalar and vector projections of the vector PQ from (a) onto the vector 3 (1,2, 6). (c) Without any further calculation, find the distance from the point Q(1,-2,4) to the plane a+ 2y + 6z = 5. )0 a =

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: a line is parallel to the vector i+ 5j+3k and passes through the point P = (6, 2, 4), then the…

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Q: 7. Find the scalar equation of any plane which contains the line = (1,2,1)+ t(3,6,-1)

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

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Q: Line A goes through the points (4, −1, 0) and (1, 5, 2). Line B is parallel to line A and passes…

A: Given: Line A passes through the points (4, −1, 0) and (1, 5, 2). Line B is parallel to line A. Line…