How to tell if the two vectors are parallel, orthogonal or neither

How to tell if the two vectors are parallel, orthogonal or neither

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concepts of vectors, focusing on parallel and perpendicular vectors. It discusses how to determine if vectors are parallel by comparing slopes and explains that perpendicular vectors have a dot product of zero, indicating orthogonality. The tutorial includes a step-by-step calculation of the dot product to demonstrate this concept.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key factor in determining if two vectors are parallel?

Their angles

Their slopes

Their magnitudes

Their dot product

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What angle is formed between two perpendicular vectors?

180 degrees

90 degrees

60 degrees

45 degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the dot product of two orthogonal vectors?

Undefined

-1

0

1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which operation is used to determine if vectors are orthogonal?

Subtraction

Dot product

Addition

Cross product

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example, what is the result of the dot product calculation?

60

0

120

-60