Pre-Calculus Final: Vectors

Front

What are the components of a vector with magnitude 10 and direction 60 degrees?

Back

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CCSS.HSN.VM.A.2

Front

How do you find the magnitude of the resultant vector when adding two vectors with magnitudes 5 and 12 at 0 degrees and 90 degrees?

Back

The magnitude of the resultant vector is 13.

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CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

Front

What are the north and east components of a plane's displacement when it flies 200 km at a bearing of 30 degrees?

Back

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CCSS.HSN.VM.A.3

Front

Back

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CCSS.HSN-VM.B.5A

CCSS.HSN-VM.B.5B

Front

Back

The magnitude is 5.

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CCSS.HSN.VM.A.1

Front

Define a vector.

Back

A vector is a quantity that has both magnitude and direction.

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CCSS.HSN.VM.A.1

Front

What is the formula to find the components of a vector given its magnitude and angle?

Back

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CCSS.HSN.VM.A.2

Front

What is the dot product of two vectors?

Back

The dot product is a scalar obtained by multiplying corresponding components and summing them.

Front

Back

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CCSS.HSN.VM.A.1

Front

What is the angle of a vector in standard position?

Back

The angle is measured counterclockwise from the positive x-axis.

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CCSS.HSN.VM.A.1