How to subtract two vectors

How to subtract two vectors

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial introduces vectors v and w in component form, explaining vector addition and how subtraction can be rewritten as addition. It covers graphing vectors and discusses reflection about the origin, relating it to odd functions. The tutorial also explains the tail to head method for vector addition, emphasizing the importance of understanding vector operations both algebraically and graphically.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the components of vector v?

(-3, -4)

(3, 1)

(-3, 4)

(3, 4)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can subtraction of vectors be rewritten?

As a division problem

As a subtraction problem

As an addition problem

As a multiplication problem

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of adding the components of v and negative w?

(-6, -3)

(-6, 3)

(6, 3)

(6, -3)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

It reflects about the y-axis

It remains unchanged

It reflects about the x-axis

It reflects about the origin

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the tail-to-head method used for?

Subtracting vectors

Dividing vectors

Multiplying vectors

Adding vectors

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the resultant vector when v and negative w are added?

(0, 0)

(-6, 3)

(-3, 6)

(6, -3)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method involves placing the tail of one vector at the head of another?

Head-to-tail method

Tail-to-head method

Component method

Scalar method