Analytic Geometry Answers

Express the following surfaces in spherical coordinates :

yz=2

Find the intersection of the line and plane:

3y−x+z=−4,r(t)=⟨−1,2,1⟩+t⟨−2,−3,1⟩

3y−x+z=−4,r(t)=⟨−1,2,1⟩+t⟨−2,−3,1⟩

P=(

P=(  , , )

the two unit vectors parallel to the line 𝑦=−(3𝑥+5)

find the equation of the line through the point (5,6) which forma with the axes a triangle whose area is 80.

LESSON: LINES AND PLANES IN SPACE

in your understanding what is meant by the statement "two planes determine a line"? is this universally tru?

Find the length of the arc of the cal x square is equal to eat from the vertex to an activity of a letter rectum

Prove that, if a, b, c are non-zero and

(a x b) x c = a x (b x c)

then either

(i) b is perpendicular to both a and c, or

(ii) a and c are parallel or anti-parallel

Note: "x" is cross product

A point moves so that is always equidistant from (-5,5) and (-2,2) . Find the equation of its locus