Calc3_part_one

Question 1

What is the Dot Product?

Answer 1

Multiplying to vectors to get a scalar or a real number.

Question 2

How to get an angle between two vectors?

Answer 2

a * b = | a | * | b | * cos( theta )

Question 3

Two vectors a and b are orthogonal if and only if …

Answer 3

a * b = 0

Question 4

How to get direction angles of a vector?

Answer 4

Take magnitude. i / |a| & j / |a| & k / |a|

Question 5

Vector projection of b onto a is denoted by …

Answer 5

Proj(a)b

Question 6

Scalar projection of b onto a formula

Answer 6

comp(a)b = ( a * b ) / | a |

Question 7

Vector projection of b onto a formula

Answer 7

proj(a)b = [ ( a * b ) / | a | ] * [ a / | a | ] = [ ( a * b ) / | a |^2 ]*[a]

Question 8

Work Formula

Answer 8

W = | F | * | D | cos( theta ) = F * D

Question 9

The vector a 3 b is orthogonal to

Answer 9

both a and b

Question 10

What gives the direction of a x b ?

Answer 10

The right-hand rule

Question 11

How do you get the angle between a x b ?

Answer 11

|a x b | = | a | * | b | sin (theta)

Question 12

Two nonzero vectors a and b are parallel if and only if …

Answer 12

a x b = 0

Question 13

Direction | u x v |

Answer 13

into the board

Question 14

Direction | v x u |

Answer 14

out of the board