In ARST, SV bisects y ZRST. Find the coordinates of point T in terms of a. S (a, a) 2a T?, ?) V (2, 0) R (a, 0)

Q: Given = (8,−4,1) + t(4, 4, −2), find the point where the line intersects the plane with equation z +…

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Q: Find the angle between the planes 2x + y- 3z 2 and -x + 2y - z= 1.

A: We can solve the given problem as follows:

Q: What is the x-coordinate of every point that lies on avertical line through C?

A: The image shows the horizontal and the vertical lines.

Q: Which point(s) lie in the plane 2x + y - z = 10? a) (0, 0, 10) c) (2, 4, - 2) b) (5, 3, - 3) d) (-3,…

A: Given:plane: 2x+y-z=10

Q: O(0,0) and A(4,4) are two given points and B is any point. Find the equation to the locus of the…

A: Given The O(0,0)  and  A(4,4) are any two points and  B is any points . OB and AB are perpendicular…

Q: Evaluate (x + y)ds where C is the straight-line segment x = 4t, y = (12-4t), z = 0 from (0,12,0) to…

A: Let  where C is straight line segment  from .We know thatwhere

Q: Let C be the line segment connecting the points P(−2,1,−4) and Q(5,−4,3). Evaluate ∫C(2x+4z)dy…

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Q: C(-4, 7) and D(0, -3)

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Q: The midpoint of v(2,10,14) is

A: Midpoint is found between 2 given coordinates.

Q: In the diagram, A is located at (0, 0), G is located at (5, 4), and I is located at (8, 4). Find the…

A: Given points: A is (0,0) G is (5,4) I is (8,4) Let the length of AC be 2a. Therefore, AF = CF = a…

Q: In triangular space it is sufficient to know two different points to find the line passing through…

A: Given statement is 'True'

Q: 3 a AB: 4x + 5y = 13; midpoint (2, 1)

A: The equation of the line is 4x+5y=13. The midpoint of the line is 2, 1.

Q: Find the cross product a x b. a a = (t, t², t³), b = (1, 4t, 9t²)

A: