Chapter 4 Vectors Flashcards
1
Q
(x1, y1, z1) • (x2, y2, z2)
A
(x1)(x2) + (y1)(y2) + (z1)(z2)
2
Q
(x1, y1, z1) x (x2, y2, z2)
A
im not even gonna try writing this
3
Q
a • b
A
∣a∣ ∣b∣ cosθ
4
Q
a x b
A
∣a∣ ∣b∣ sinθ (unit vector)
5
Q
area of triangle OAB
A
1/2 ∣a x b∣
6
Q
a • b = 0
A
a⟂b
7
Q
a x b = 0
A
a∥b
8
Q
Length of projection of b onto d
A
∣a • (unit vector of b)∣
9
Q
Length of QN
A
∣a x (unit vector of b)∣
10
Q
Perpendicular distance from origin to plane p
Where p: r • n =D
A
D/∣n∣
