Given the plane i = (-2, 1,5) + s(3, -2,0) + t(1, 1, 5), s,t € R. The plane cuts the x, y and z-axes to form a triangular pyramid. Find the volume of the pyramid. (Vpyramid =(area of the base)(height)).

Q: 3) Sketch a right square pyramid with height 4 units and base in the x-y plane as shown. Then state…

A:

Q: # 26, p40: Find the area of a rhombus in which one side measures 10 cm and one of the diagonals…

A:

Q: (3, 4, 2), (–2, 1,0), (0, 2, 1).

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Describe the surface of 4z2 – 4x² – y = 4 - |

A: The general equation of a  hyperboloid on two sheets is given by x2a2-y2b2-z2c2=1 notice that there…

Q: Find the point on the sphere x +y +z = 4 farthest from the point (1, – 1,1). The point is ( ID:…

A:

Q: 2. Consider the triangle with vertices at A = (0,0), B = (-6, –9), and C = (-15,0). (a) Find the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 8.G is the centroid of an equilateral triangle ABC with base BC of side 60 cm If GBC is cut from the…

A:

Q: 3. Find the area of the rhombus. dl (2x +2) cm d2 (6x + 8) cm

A: As we know that the area for a rhombus when the p and q are the diagonal is:- A=pq2

Q: Find the equation of the plane containing the point P(1, 1, –1) and the line -4+t 1- t 1+t

A:

Q: Consider the point P(1, 2,1) and the plane X – y + 2z = 4. a. Use projections to find the distance…

A: It is given that

Q: Ex 6/ Find the Velume in the firstad Lacdlesiged by the Cylinder xpZ54 and the plane ye 3 22

A:

Q: c. Find the distance from Po = (3,9, 6) to the plane 3.x + 4y – 5 = 0.

A:

Q: The plane ४| + y + NIT = 1 intersects the x-, y-, and z-axes in points P, Q, R. Find the area of the…

A:

Q:

A: Given problem:- Find the distance from the plane to the origin. The plane has A(1,1,0) B (-1,0,1)…