Understanding Vectors in Component Form

The video tutorial explains how to write vectors in component form, where the initial point is the origin and the terminal point is defined by horizontal and vertical components. It demonstrates finding these components by forming right triangles, using vector V and a red vector as examples. The tutorial concludes with the component forms of both vectors.

What is the initial point of a vector in component form?

• The midpoint

• The terminal point

• The endpoint

• The origin

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CCSS.HSN.VM.A.2

How can we find the component form of vectors not starting at the origin?

• By using a compass

• By forming right triangles

• By measuring angles

• By using a protractor

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CCSS.HSN.VM.A.1

What is the horizontal component of vector v?

• 3

• 5

• -5

• -3

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CCSS.HSN.VM.A.2

What is the vertical component of vector v?

• 3

• -5

• 5

• -3

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CCSS.HSN.VM.A.2

How many units do we move left to find the horizontal component of the red vector?

• 3

• 4

• -4

• -3

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CCSS.HSN.VM.A.1

What is the vertical component of the red vector?

• 4

• 3

• -4

• -3

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CCSS.HSN.VM.A.2

What is the component form of the red vector?

• (-3, -4)

• (4, 3)

• (-4, -3)

• (3, 5)

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CCSS.HSN.VM.A.2

What is the significance of the terminal point in a vector's component form?

• It determines the vector's length

• It is irrelevant to the vector's direction

• It is the starting point of the vector

• It is the endpoint of the vector

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CCSS.HSN.VM.A.2

What is the main takeaway from the example discussed?

• Component form can be found using right triangles

• Component form is only for horizontal vectors

• Vectors cannot have negative components

• Vectors can only start at the origin

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CCSS.HSN.VM.A.2