Vectors Flashcards
What is the word definition of dot product?
Dot product of A and B is the length of the projection of A onto B multiplied by the length of B
What is a Unit vector?
A vector with a magnitude of 1
What is the word definition of Cross multiplication?
The magnitude of the cross product of A and B is the area of the parrallellagram with two sides A and B.
What is the eqaution of dot multiplication?
A.B = mag(A) mag(b) cos(θ)
What is the equation for Cross multiplication?
mag(A x B) sin(θ) = ABsin(θ)
What is meant by A x B = -B x A ?
Cross products are anti-comutative
What is the equation for Triple vector products?
A x (B x C) = B(A.C) - C(A.B)
You can shift everything one position left or right and it works
Are dot products commutative?
Yes
A.B = B.A
What is the equation for the angle between two vectors?
(A.B) / (mag(A) mag(b)) = cos(θ)
What is the dot cross rule?
A.(B x C) = B.(C x A) = C.(A x B)
What is the elastic collision equation?
e = (vbf -vaf) / (vai - vbi)
a is particle a
b is particle b
f is final
i is initial
What is the equation for finding the zero momentum frame?
mv = Sum(p)
mass of system x velocity of zero momentum = sum of momentum
What is the eqaution for the centre of mass?
R = (1/M) Sum(mr)
R is centre of mass vector
M is total mass
m is mass of point
r is vector to a mass point
What is μs ?
coefficent of static friction.
The friction when an object is stationary and trying to move.
What is μk ?
Coeffecient of kinetic friction.
The friction of a surface when moving
