Understanding Vectors

The video tutorial introduces the concepts of scalars and vectors, explaining that scalars are quantities with only magnitude, while vectors have both magnitude and direction. It covers vector representation, addition, multiplication, and subtraction, using examples and the coordinate plane for illustration. The tutorial also demonstrates practical vector calculations and concludes with a call to action for viewer engagement.

What is a scalar quantity?

• A quantity with only magnitude

• A quantity with neither magnitude nor direction

• A quantity with both magnitude and direction

• A quantity with only direction

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CCSS.HSN.VM.A.1

How is a vector typically represented?

• As a number with a unit

• As a line segment with an arrow

• As a point on a graph

• As a circle with a radius

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CCSS.HSN.VM.A.1

What remains unchanged when a vector is moved?

• Its direction

• Its magnitude and direction

• Its position

• Its length

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CCSS.HSN.VM.A.1

How do you calculate the magnitude of a vector on a coordinate plane?

• By multiplying the coordinates

• By subtracting the coordinates

• By using the Pythagorean theorem

• By adding the coordinates

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CCSS.HSN-VM.B.4B

CCSS.HSN-VM.B.4A

What is the result of adding two vectors using the parallelogram method?

• A new vector that is the diagonal of the parallelogram

• A new vector with the same direction

• A new vector with the same magnitude

• A new vector that is the sum of the magnitudes

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CCSS.HSN-VM.B.5A

CCSS.HSN-VM.B.5B

What happens to a vector when it is multiplied by a negative scalar?

• Its magnitude increases

• Its direction reverses

• Its magnitude decreases

• Its direction remains the same

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CCSS.HSN-VM.B.4C

How can you find the difference between two vectors?

• By subtracting their coordinates

• By adding their magnitudes

• By reversing the direction of one and adding

• By multiplying their coordinates

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CCSS.HSN-VM.B.4B

CCSS.HSN-VM.B.4A

What are the coordinates of vector C if vector A is (5, 3) and vector B is (2, 4)?

• (7, 7)

• (5, 4)

• (3, 1)

• (10, 7)

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CCSS.HSN.VM.A.1

What is the magnitude of vector (-2A + 3B) if A is (-3, -1) and B is (1, -2)?

• Square root of 85

• Square root of 65

• Square root of 97

• Square root of 50

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CCSS.HSN-VM.B.4C

What is the first step in finding vector A - 2B?

• Multiply vector B by 2

• Add vector A and vector B

• Multiply vector B by -1

• Subtract vector A from vector B

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CCSS.HSN-VM.B.4C