Find the intersection of the line passing through P=(21,21) and Q(−63,168) and the line passing through...

Find the intersection of the line passing through P=(21,21) and Q(−63,168) and the line passing through points R(21,0) and S(0,21) using vectors.

Expert Solution

First, we have written down the equation of lines passing through the given points in vector form. Then, to find the point of intersection of the two lines, we have to equate the x and y components of both the lines, as explained in the solution.

Colby Messinger answered 1 year ago

Find the intersection of the line passing through P=(-10,-6,-6) and Q(50,-18,-18) and the plane passing through...

Find the intersection of the line passing through P=(-10,-6,-6) and Q(50,-18,-18) and the plane passing through points R(-10,0,0), S(0,-6,0) and T(0,0,-6).

Find the symmetric image of P(−28,18,20) about the plane passing through Q(0,0,0) and perpendicular to the...

Find the symmetric image of P(−28,18,20) about the plane passing through Q(0,0,0) and perpendicular to the vector n=[−5,5,2].

Find the line that passes through the point (0, 1) and through the point of intersection...

Find the line that passes through the point (0, 1) and through the point of intersection of the two lines and

4(a). Find the equation y = ax + b of the line passing through (2,3) and...

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(a) Find the equation of the plane passing through the point P(0, 0, 5) and the...

(a) Find the equation of the plane passing through the point P(0, 0, 5) and the line x = 1 + t, y = 1 − t, z = 4 − 5t. (b) Find parametric equations for the line passing through point (1, 2, 3) and parallel to the line x = 2 − 3t, y = 4 + t, z = 2t.

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Let L be the line passing through the point P=(−3, −4, 2) with direction vector →d=[−3,...

Let L be the line passing through the point P=(−3, −4, 2) with direction vector →d=[−3, 3, 0]T. Find the shortest distance d from the point P0=(1, −5, −1) to L, and the point Q on L that is closest to P0. Use the square root symbol '√' where needed to give an exact value for your answer. d = 0 Q = (0, 0, 0)

Find the equation of the line through the point P = (0,2,−1) that is perpendicular to...

Find the equation of the line through the point P = (0,2,−1) that is perpendicular to both ⃗v = 〈3,0,1〉 and ⃗w = 〈1,−1,2〉. v and w are vectors by the way

McMahon and Associates, an engineering firm, counted 300 cars passing through an intersection. The observations showed...

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