1-4 Vectors

Question 1

what is the sin law?

Answer 1

sin A/a = sin B/b = sin C/c

Question 2

What is the cosine law?

Answer 2

c2 = a2 + b2 - 2ab cos C

Question 3

What is the dot product of vectors formula?

Answer 3

a*b = |a| |b| cos x

Question 4

What is the cross product of vectors?

Answer 4

a x b = |a| |b| sin x

Question 5

What is the formula for a UNIT vector?

Answer 5

vector a/magnitude of a, or (1/magnitude of a) x vector a

Question 6

What is the formula for the magnitude of a projection of u onto v?

Answer 6

|u*v|/ |v|

Question 7

What is the formula for the components of a projection of u onto v?

Answer 7

(u*v)/|v|2, whole thing multiplied in the direction of vector v

Question 8

formula of the triple scalar product

Answer 8

(A x B) * C

Question 9

Formula for the area of a parallelogram

Answer 9

vector base x vector height

Question 10

Work is in _____, torque is in _______.

Answer 10

Joules, newton-metres.

Question 11

Formula for work

Answer 11

|F| |d| cos x

Question 12

Formula for torque

Answer 12

|F| |d| sin x

Question 13

Two vectors are COPLANAR if….

Answer 13

Their triple scalar product = 0.