Analytic Geometry Answers

if A=2i+j+k, B=i-2j+2k and C=3i-4j+2k , find the projection A+C in the direction of B.

Select one:

A 173

B 203

C 143

D 193

Given that A = 2i + 3j - k, B = i - j +2k and C = 3i + 4j + k find:

a) A+2B

b) |A- B+2C|

c) D such that A - B + C 3D = 0

if A=2i+j+k, B=i-2j+2k and C=3i-4j+2k , find the projection A+C in the direction of B.

A line segment has end points A (-12, -11) and B (6, 19). Find the three points that divide AB into four equal pieces. A) show that the line segment with end points A (5,3) and B (5 ,-5) is a chord of the circle X to the power of 2 + Y to the power of two = 34

find the distance between the point (1, 2) and the line y= 4x+ 1

A trapezoid has an area of 36 sq. m and an altitude of 2m. Its two bases have ratio of 4:5. Find the perimeter of the trapezoid. Find the percentage increase in the volume if its edge is increased by 1%

p,p+7,p+14,.... is arithmetic sequence

Find n term and Find the smallest value of p for which 2021 is a term in the sequence.

There is a triangle formed by the intersection of the following lines:

r1 = [0,1,7]+s[15,6,-12]

r2 = [4,-4,8]+s[4,-5,1]

r3 = [4,-4,8]+s[4,-5,1]

Find the area of this triangle

There are two planes:

x+4y-3z+12=0 and 2x+8y-6z+4=0

a) Explain how I know these planes are parallel and distanced?

b) How far apart are these lines?

1.Consider the plane ℿ₁ : 3z + 2y + x = 2.

a.) If ℿ_{2 :} 2z - 3y = 1 is another plane. Are the planes ℿ₁ and ℿ₂ orthogonal?

b.) Consider the line L that passes through the point P₀(0, 1, 1) and is parallel to the vector

⟶

u = [ 1

1 Find the point of intersection of the plane ℿ₁ and the line L.

1]