Analytic Geometry Answers

Obtain the equation of the line passing through (1,-1,2) having direction ratios (2,0,1)

A ̅=5i+7j+8k

B ̅= 5i+2j-5k


Use your understanding of vector analysis to complete the following:

Calculate a resultant vector which would theoretically represent a single force that could replace the two force vectors A and B while giving the same support to the structure.

Calculate the modulus of all three forces.
Determine the value of the dot-product (scalar product) of vectors A and B
Calculate the angle between the vectors A and B
Determine the directional cosine angles of the resultant vector with respect to the x, y and z axes.

Find the equation of circle with center at the origin and tangent to the line 2x - 5y =8.

Find the standard form of the equation of circle whose center is at (4,3) which passes through the origin. Draw the circle

The verticles of triangle ABC are: A(-2, -2), B(-5,-4),C(4,1). Round your answer to the nearest tenth.

a. Find the perimeter of the triangle

B. Find the area of the triangle

C. Johnathon says the triangle is a right triangle.
Do you agree or disagree. Why or why not ?

Angle between the lines x+3=0 and y+7=0

Write the equation for the hyperbola with foci (6,-5),(-4,-5) and conjugate axis of length 8?

Check whether or not the conicoid represented by 5x^2+4y^2-4yz+2xz+2x-4y-8z+2=0 is central or not.If it is,transform the equation by shifting the origin to the centre.Else,change any one coefficient to make the equation that of a central conicoid.

Check whether or not the conicoid represented by 5x^2+4y^2-4yz+2xz+2x-4y-8z+2=0 is central or not.If it is,transform the equation by shifting the origin to the centre.Else,change any one coefficient to make the equation that of a central conicoid.

How did you get pq = 80 - 16 = 64