Common Core Standard HSN-VM.B.4c Questions

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Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c

Which of the following are equivalent to

$vec{a} - vec{b} ?$ Choose all that apply.

$vec{a} + (-vec{b})$
$vec{b} - vec{a}$
$-vec{a} + vec{b}$
$-vec{b} + vec{a}$

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c

For

$vec{a} = <<4,8>>, \ \ vec{b} = <<1,7>>$ , find the difference,

$vec{a} - vec{b}$ .

$<<-3, 7>>$
$<<-4,-6>>$
$<<3,1>>$
$<<5,15>>$

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c

Which of the following is the additive inverse of

$vec{v} = <<-4,6>> ?$

$<<4,6>>$
$<<1/4, -1/6>>$
$<<-1/4, 1/6>>$
$<<4,-6>>$

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c

For

$vec{n} = <<-3,6>>$ and

$vec{m} = <<4,-2>>$ , find

$vec{n} - vec{m}$ graphically.

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c

For

$vec{a} = <<5,1>>$ and

$vec{b} = <<-3,-4>>$ , find

$vec{b} - vec{a}$ graphically.

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c

Let triangle ABC represent vectors

$vec{AB}, vec{CB}, vec{AC}$ . Then

$vec{AB} - vec{CB} = vec{AC}$ .

True
False

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c

For vectors

$vec{v}$ and

$vec{w}$ , if one were to find

$vec{w} - vec{v}$ graphically, which of the following could be true? Choose all that apply.

The heads of the vectors would be touching.
The tails of the vectors would be touching.
The head of vector $vec{w}$ would touch the tail of vector $vec{v}$ .
The head of vector $vec{v}$ would touch the tail of vector $vec{w}$ .

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c

Given two vectors,

$vec{v}$ and

$vec{w}$ , which are opposite in direction and where

$||vec{v}|| = 2||vec{w}||$ . What does

$vec{v}-vec{w}$ equal? Choose all that apply.

$1/2 vec{v}$
$3/2 vec{v}$
$-3vec{w}$
$vec{0}$

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c

If vector

$vec(v) = << 13,28 >>$ and vector

$vec(w) = << 6,14 >>$ , what is the result of

$vec(v) - vec(w)$ ?

$<< -15,-8 >>$
$<< -7,-14 >>$
$<< 7,14 >>$
$<< 19,42 >>$

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c

If vector

$vec{v} = < -3,14 >$ and vector

$vec{w} = < -8,8 >$ , what is the result of

$vec{w} - vec{v}$ ?

$< 11,-22>$
$< 5,6 >$
$< -11,0 >$
$< -5,-6 >$

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c

If vector

$vec(v) = << -3,14 >>$ and vector

$vec(w) = << -8,8 >>$ , what is the result of

$vec(v) - vec(w)$ ?

$<< -11,22>>$
$<< 5,6 >>$
$<< 11,0 >>$
$<< -17,-16 >>$

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c

If vector

$vec{t} = < 13,28 >$ and vector

$vec{r} = < -13,-28 >$ , what is the result of

$vec{t} - vec{r}$ ?

$< -26,-56 >$
$< 0,0 >$
$< 26,56 >$
$< 41,-41 >$

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c

If vector

$vec(t) = << 13,28 >>$ and vector

$vec(r) = << -13,-28 >>$ , what is the result of

$vec(r) - vec(t)$ ?

$<< -26,-56 >>$
$<< 0,0 >>$
$<< 26,56 >>$
$<< 41,-41 >>$

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Common Core Standard HSN-VM.B.4c Questions

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