Analytic Geometry Answers

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.

Prove and Disprove that a scalar and vector can be added.

Find the section of the conicoid x^2/2-y^2/3 = 2z by the plane x-2y+z = 1. What conic does this section represent? Justify your answer.

The sum of two positive numbers is 50. what are the numbers if their product is to be the largest possible.

CHOICES:

25 and 25

20 and 30

24 and 26

28 and 22

Two sides of a square are on the line x + 10y – 10 = 0 and x + 10y – 5 = 0. Find the area of the square.

Two sides of a square are on the line x + 10y – 10 = 0 and x + 10y – 5 = 0. Find the area of the square.

Find the equations of the lines perpendicular to the line x – y + 3 = 0 and passing at a distance numerically twice as far from the origin.