Analytic Geometry Answers

Determine the length of the perimeter of a triangle whose vertices are L(-1:2) ,M(1:6) and N(4:0)

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Find n so that vectors 2i+3j-2k,5i+nj +k and -i+2j+3k may be coplanar

Find the angle between the given vectors to the nearest tenth of a degree.

u = <-5, -4>, v = <-4, -3>

Any point X inside triangle DEF is joined to its vertices. From a point P on DX, PQ is drawn parallel to DE, meeting XE at Q and QR is drawn parallel to EF, meeting XF in R. Prove that PR is parallel to DF.

two vector a & b are added.prove that the magnitude of resultant vector cannot be greater than (a+b) and smaller than (a-b)

Find the equation of the line with the given condition

1.passing through (-3,7) and w/ y-mt 3
2.passing through (-3,4) and w/ x-mt -1
3.through (-3,8) parallel to 7x +2y + 9 = 0
4. through (4,-7) parallel to 3x + y + 6 = 0
5. slope 1/2 and through the point of intersection of 3x + y + 2 = 0 and x + 3y + 6 = 0
6. x-mt -3 and parallel to 4x +7y = 1

Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.


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Let u = <-3, 4>, v = <8, 2>. Find u + v.

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Let u = <3, -1>, v = <-6, -6>. Find 9u + 2v.


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Find a ⋅ b.

a = 4i - 4j, b = 4i + 5j

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