Analytic Geometry Answers

Find the slope-intercept form for the line perpendicular to 2x - 3y = -6 and passing through (4, 9)

Definition, Formula and Physical interpretation of Dot Product

A point moves so that the ratio of its distances from 3x + 4y + 8 = 0 and 4x + 3y – 6 = 0 is 2. Find the equation of its locus.

Let u = 2i – 3j + 4k v = 3i + k – 2k w = i+ 5j+3k

a. 2u + 3v + 4w

b. u . v and u . w

c. u x v and || u x v ||

d. Find the unit vector of u, v and w

e. Proj (u,w)

f. Establish the angle between the u and v.

Two forces act a point The magnitude of the Two forces are F, 2 newton and the measure of the angle between them is 60, if their resultant equal 2√3 newton,then F =newton

Use traces to sketch and identify the surface "x^2=y^2+4z^2"

Two forces act a point The magnitude of the Two forces are F, 2 newton and the measure of the angle between them is 60, if their resultant equal 2√3 newton,then F =newton

The arch of a bridge is in the shape of semi-ellipse, with its major axis at the water level. Suppose the arch is 20ft high in the middle, and 120ft across its major axis. How high above the water level is the arch, at a point 20ft from the center(horizontally)?

Explain Collinear vector

Define Scalar Product its formula and its physical interpretation.