Are the vectors Orthogonal, Parallel or Neither

Are the vectors Orthogonal, Parallel or Neither

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine if vectors are orthogonal using the dot product. It covers the calculation of the dot product and its significance in identifying orthogonal vectors. The tutorial also demonstrates how to find the angle between vectors using the dot product and magnitude, emphasizing that orthogonal vectors have a 90-degree angle. The instructor further explains the use of cosine inverse to verify the angle and discusses the calculation of vector magnitudes.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the dot product of two vectors if they are orthogonal?

-1

Infinity

0

1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the angle between two perpendicular vectors?

180 degrees

90 degrees

60 degrees

45 degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to find the angle between two vectors using their dot product and magnitudes?

Pythagorean theorem

Dot product divided by magnitudes

Cosine rule

Sine rule

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the dot product of two vectors is zero, what can be inferred about the angle between them?

The angle is 0 degrees

The angle is 45 degrees

The angle is 90 degrees

The angle is 180 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of dividing zero by any non-zero number in the context of vector magnitudes?

Infinity

Undefined

Zero

One