7.3 - Dot Product of 2 Geometric Vectors

0.0(0)
learnLearn
examPractice Test
spaced repetitionSpaced Repetition
heart puzzleMatch
flashcardsFlashcards
Card Sorting

1/11

encourage image

There's no tags or description

Looks like no tags are added yet.

Study Analytics
Name
Mastery
Learn
Test
Matching
Spaced

No study sessions yet.

12 Terms

1
New cards

Geometric vectors are

vectors not assigned to a coordinate system

2
New cards

Dot product between 2 vectors a and b is :

a scaler quantity

3
New cards

Formula for dot product

a*b = l al lbl Cos theta

4
New cards

Theta:

angle between a and b always between 0Âş and 180Âş

5
New cards

* is multiplication T/F :

F it is the dot product or scaler product

6
New cards

The dot product tells us:

  • How much of the force vector is applied in the direction of the motion vector

  • Can also be used to determine angle formed between pair of vectors

7
New cards

Properties of dot product

  • Communicative properties

  • Distributive properties

  • Magnitudes properties

  • Associative properties with scaler k

  • Perpendicular angle

8
New cards

Communicative property:

p*q= q*p (order of dotting does not matter

9
New cards

Distributive property:

Distributive property can also be used for dot products LIKE multiplication

10
New cards

Magnitudes property:

lPl lPl= lPl²

11
New cards

Associative property with scaler k :

(kp)* q = (kq) * p = k(p*q)

12
New cards

If 2 vectors are perpendicular dot product is :

0 because Cos 90 = 0