Vectors Flashcards
1
Q
When are two vectors equal?
A
If they have the same direction, the same magnitude.
2
Q
When are two vectors parallel?
A
If one is a scalar multiple of the other.
3
Q
If a vector is of length 1 in the direction of a how do you find the vector?
A
a/|a|
4
Q
If a vector is of length k in the direction of a how do you find the vector?
A
k(a/|a|)
5
Q
What is the scalar product for perpendicular vectors?
A
0
6
Q
What is the scalar product for parallel vectors?
A
a.b = |a||b|
7
Q
What is the scalar product for coincident vectors?
A
a.a = a^2
8
Q
What is the vector equation of a line?
A
r = a + tb where r is the general vector of a point on the line, a is a given positions vector of a point on the line and b is a direction vector parallel to the line, t is called the parameter.
