(a,b,c) and meets the uses at A,B and C. Show that the locus of the point of intersection of the planes through A,B  and C parallel to the coordinate planes is                             (ax^-1)+(by^-1)+(cz^-1)=1   where a,b,c are alpha,beta and gamma

Q: nd the length of the vector fo raight line joining the points 5,2). Also find the angle made

A: Given, The vector is formed by the straight line joining the points 1,3 and5,2. The length is to be…

Q: Find the distance between (10,-11) and (12,3

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Q: express vector as a product of its length and direction. 1/(3)^1/2 i + 1/(3)^1/2 j + 1/(3)^1/2 k

A: Let the given vector is: v=13i+13j+13k

Q: The distance from the origin to the line passing through the points (0, 1,3) and (1,-1,2) is 14.

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Q: the Find the distance bebween point of inter Section of the Line %3D X -y -Z =2, 2 x +34 -7Z = -1 |…

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Q: Q3\Find the parametric and symmetric equations of the line through the points (3,2,0) and (- 5,0,…

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Q: A parabola of y=x^2 has been regraphed and now sits with each side plotted at (-3,5) and (3,5) and…

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Q: Calculate the x- and y-interсepts of the graph:   y=3-3x^3   A)x - intercept (0,1), y -…

A: Draw the graph: For X-intercept, put y=0: X-intercept is 1. The point of x-intercept is (1, 0).

Q: The line through the points (-3, 8, --4) and (1,0, 8) intersecta the B. (0,2,5) C. (5,2,0) D. (0,5,…

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Q: Determine the points of intersection of  y=x^2   and   y=x+1

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Q: Determine the distance between the following pair of points: (x…

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Q: Find the parametric equations for the line in the x-y plane which goes through the points (2,-1) and…

A: The parametric equations for the line in the x-y plane which goes through the points (2,-1) and…

Q: Suppose vector a= (4, -6, 10) and vector B= (-6, 9, -15). What is a x b?

A: topic - vectors

Q: Show that the point (5,4,2), (6,2,-1) and (8,-2,-7) are collinear

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Q: Find  vector z + vector y if vector z= and vector y= . graph

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Q: Let there be two parabolas y^2 = 4ax and y^2 = -4bx (where a not equal to  b and a, b > 0). Then…

A: Let us consider that the line parallel to the common axis be y=h.then the co ordinates of A and B…

Q: point P (x, y) moves such that it is always twice as far from (-5, -6) as it is from (2, -3). What…

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Q: The following line intersect with the xz-plane. What is the point? x = -2; y = 4+2λ; z = −3+2

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Q: Find the distance between (2,4, -1) and (0,8,3)

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Q: draw the line which start point (1,1,0) and end point (3,4,0)by using parametric equation

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Q: Determine the parametric and symmetric equations for the line through the given points (2, –7,5),…

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