Prove that the point (3,0) ,(4,5),(-1,4) and (-2,-1) taken in order,form a hombus ,also find its area

Q: 9 Find the distance from the point (-7,-3,4) to the xy-plane.

A: Distance of a point (a,b,c) from the plane lx+my+nz=p is (la+mb+nc-p)/sqrt(l^2+m^2+n^2)

Q: Find distance between a = (3, -1, 0, -3) and b = (4, 0, 1, 2).

A: Given a=(3,-1,0,-3) and b=(4,0,1,2) and we have to find distance between a and b

Q: Express the area of a square (A) in terms of its diagonal (d)

A:

Q: Two sides of a square lie on the lines x + y = 1 and x + y + 2 = 0. What is its area?

A:

Q: Find the area of a parallelogram in 3-space when the adjacent sides are A` =2i`+4j`-3k` and B`=…

A: area of a parallelogram in 3-space when the adjacent sides are A` =2i`+4j`-3k` and B`= i`-2k`

Q: The triangle with vertices A(0, 1, 2), B(-1,0,2) and C(1,-2,0) has area = (ii)

A: A(0,1,2) B(-1,0,2) C(1,-2,0)