Vectors Questions and Answers

5) 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)

The 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) =

Given 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

A 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.

Over 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.

Subtract. Write your answer as a mixed number in simplest form.

The 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.

Let à = (-3, 4) and b = (5,-2). Find the projection of b onto a. proja b =

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

Add the given vectors by components. A=380, θA=220.9° B=233, θB=294.2°

Find 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=

A 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