Find the coordinates of the points which divide the line segment joining A (- 2, 2) and B (2, 8) into four equal parts. The coordinates of the points which divide the line segment joining A (- 2, 2) and B (2, 8) into four equal parts is (...
Find coordinates of the point, where line x+1−1=y−12=z−1 crosses the plane x+y+z=1 a. (1, -1, 1) b. (-1, 2, 1) c. (-2, 0, 1) d. (-1, 1, 1) Symmetric Equations: There are many way...
We have to find the points of trisection of the line segment joining the given points. Solution: Let the line segment whose end points are A(2,−2)A(2,−2) and B(−7,4)B(−7,4) is trisected at points C(x1,y1)C(x1,y1) and D(x2,y2)D(x2,y2)....
The vertices of a polygon are given. Find the coordinates of the vertices when the polygon is reflected in the y-axis. {eq}(-4, 5); (-2, 3); (-5, 1) {/eq} Reflection Over Y-axis: The reflection over the {eq}y {/eq...
The equation \left \langle x,y,z \right \rangle= \left \langle -1,0,-2 \right \rangle + t\left \langle 1,2,2 \right \rangle describes a straight line. Find the coordinates of the point where this line Co...
Let P and Q be the points of trisection of the line segment joining the points A(2, −2)A(2, −2) and B(−7, 4)B(−7, 4) such that P is nearer to A. Find the coordinates of P and Q. Show that the mid-point of the line segment joining the points...
Find the coordinates of the point P on the line segment from P_1 to P_2 that is 2/5 the way from P_1 to P_2. Let A = (1, 2), let B = (3, 1). Parametrize the line segment from A to B. Given that \mathbf{F}(x,y,z) = yz \ \mathbf{i} + xz \ \mathbf...
The lines intersect at point M. What is the value of x? Points A, B, C, D, and E are collinear and in that order. Find AC if AE = x + 50 and CE = x + 32. Find the coordinates of the trisection points of the line s...