Let P = (1, -2,3); Q = (3,-2, 4); R = (2,-1,5) & S = (5,0,-2). Answer each of the following: (1) (ii) (iii) (iv) Use cross product to find the area of the triangle PQR; Find an equation of the plane containing the points P, Q & R; Find an equation of the line perpendicular to the lines PQ & RS and contains the point which divides the line segment QR in the ratio 2 : 3; Find the distance of the point R from the line PS;

Q: Find an equation for the line in the form ax + by = c, where a, b, and c are integers with no factor…

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Q: b) Find the equation of the line passing through the points P1 ( 3, 7, 9) and P, (8, 10,12).

A: Given that: Two points are: P1(3, 7, 9) and P2(8,10,12)

Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: a) (2, - 3) and (2, 5) b) (3, - 2) and (-7, - 2) Find the distance between each pair of points: c)…

A: since you have posted multiple questions so we solve the first three for you, to get the remaining…

Q: Find the missing value in the coordinate points: (2, -1) (x,3) & (11, 11) whose line is a collinear

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Q: If P = (-1,4) and Q = (4, –1), find the coordinates of PQ PQ =

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Q: Find the equation of bisector of the acute angle between the lines 3x – 4x + 7=0 and 12x + 5y – 2 =…

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Q: Are the points (−2, 1), (1, 7), and (4, 14) on the same line? Why

A: We are given three points to check if they are linear or not. Three or more points are said to be…

Q: Find the point of intersection of the two lines l1 : 7 Intersection point:

A: Introduction: The point of intersection is the intersection of two lines or curves. A point is the…

Q: Find the distance the point P(0, 2, 8) is to the line through the two points Q(1,-1,4), and R(-1,-4,…

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