Other Definitions and Formulas
Property of the dot product that equals ||a||²?
what is a · a?
Given u = <1, 3> and v = <6, 7> Find u · v
What is 27?
There are two vectors <3, 4> and <1, -2>, find the angles between this two vectors (one decimal place).
What is 116.6°?
FInd the work done on an object if the force vector(100N)is 60 degrees from the displacement vector (10m)
W=500J?
vector projection of b onto a, if b = <3, 1, 4> and a = <2, 2, 1>
what is <8/3, 8/3, 4/3>?
Q = Given u = <2, 2, 3> and v = <1, 5, 6> Find u · (2v).
What is 60?
If <4, -2> and <a, 3> are orthogonal, then what is the distance between these two vectors?
What is 5*sqrt(5)/2 ?
FInd the work done on the object whose displacement vector(meters) is <4,3,2> and force vector(Newtons) is <3,2,1>
W=20J?
find the direction angles of a = <3, 7, 1>
what is α= 67.0102 degrees β = 24.3113 degrees γ = 82.5195 degrees.
Given u = <3, 3> and v = <2, 8> Find u^2 · 3v
What is <108, 432>?
Two points: (2, a) and (b, 4), their distance from the initial point (0,0) is sqrt(65/16) and sqrt(65/4), are the vector <2, a> and <b, 4> are orthogonal?
What is Orthogonal?
A person pushes a lawn mower in a curve that can be modeled by y = x² + sinx on (0, pi/2). The person applies a force f = <2, 5, 3>. parallel to the curve. Find the work done. (assume no angle between force and direction of velocity theta = 0 degrees).
What is 23.6145?