# Vectors Questions and Answers

Geometry

Vectors5) Find the equation of the hyperbola based on the given information:
A) Vertices V(2, -3) and V'(2, 7); one focus at F(2,-5)
B) Foci at F(-2, 3) and F'(-2,9); one vertex at V(-2,4)

Geometry

VectorsThe planes 3x + 4y + 4z = -25 and 2z - (4x + 5y) = 3 are not parallel, so they must intersect along a line that is common to both of them. The vector parametric equation for this line is
L(t) =

Geometry

VectorsGiven vectors a = (5, 3, 1) and b = (-1,3,-2), calculate the following:
1.3a-b
II. a b
III. a x b
IV. proja b

Geometry

VectorsA rectangular field is 0.35 kilometers long and 0.2 kilometers wide. What is the area of the field in square meters? Do not round your answer. Be sure to include the correct unit in your answer.

Geometry

VectorsOver a two hour time period a snail moved 46 inches. How far is this in yards? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Geometry

VectorsThe price of a condominium is $132,000. The bank requires a 5% down payment and one point at the time of closing. The cost of the condominium is financed with a 30-year fixed-rate mortgage at 8.5%. Use the following formula to determine the regular payment amount. Complete parts (a) through (e) below.

Geometry

VectorsFind an equation of the plane. the plane through the point (1, 8, 3) and with normal vector 4i + 3j + 5k

Geometry

VectorsFind the coordinate vector of w relative to the basis S = (u₁, u₂) for R2. Let u₁=(4,-5), u₂ = (5, 7), w = (1,1).
(w)s=

Geometry

VectorsA truck with 26-in.-diameter wheels is traveling at 50 mi/h.
Find the angular speed of the wheels in rad/min, "hint convert miles to inches & hours to minutes:
rad/min
How many revolutions per minute do the wheels make?
rpm