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# Eleventh Grade (Grade 11) Vectors Questions

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Grade 11 Vectors CCSS: HSN-VM.A.2
What is the component form of the vector $vec(JK) ?$
1. $<<-4,4>>$
2. $[[-4],[4]]$
3. $4hat(i) - 4hat(j)$
4. $<<4,-4>>$
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
Let $vec(a) = 3hat(i) - 6hat(j), vec(b) = -hat(i) + 3hat(j).$ Find $3vec(a) + 2vec(b).$
1. $7hat(i) - 3hat(j)$
2. $2hat(i) - 3hat(j)$
3. $11hat(i) + 24hat(j)$
4. $7hat(i) - 12hat(j)$
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
If vector $vec(m) = << -2,4 >>$ and vector $vec(n) = << 6,-8 >>$, what is the result of $vec(m) + vec(n)$ ?
1. $<< -6,14 >>$
2. $<< -8,12 >>$
3. $<< 2,-2 >>$
4. $<< 4,-4 >>$
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
Write $vec(JO)$ as the sum of unit vectors for points J (6,-2) and O (-9, 5).
1. $-3hati + 3hatj$
2. $-15hati + 7hatj$
3. $-1hati + -11hatj$
4. $15hati + -7hatj$
Grade 11 Vectors CCSS: HSN-VM.B.5b
The vectors $4vec(n)$ and $-4vec(n)$
1. have nothing in common.
2. have the opposite direction.
3. have the same direction.
4. have the opposite magnitude.
Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5b
The vectors $4vec(n)$ and $6vec(n)$
1. have nothing in common.
2. have the same direction.
3. have the same start point.
4. have the same magnitude.
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 $vec(v) - vec(w)$ ?
1. $<< -15,-8 >>$
2. $<< -7,-14 >>$
3. $<< 7,14 >>$
4. $<< 19,42 >>$
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
If vector $vec(m) = << 1,8 >>$ and vector $vec(n) = << 4,7 >>$, what is the result of $vec(m) + vec(n)$ ?
1. $<< 5,15 >>$
2. $<< 3,-1 >>$
3. $<< 3,1 >>$
4. $<< 9,11 >>$
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 $vec(v) - vec(w)$ ?
1. $<< -11,22>>$
2. $<< 5,6 >>$
3. $<< 11,0 >>$
4. $<< -17,-16 >>$
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
Let $vec(n) = <<-6,-1>>, vec(m) = <<10,-10>>.$ Find $2vec(m) - 5vec(n)$.
1. $<<10, 25>>$
2. $<<-10, -25>>$
3. $<<50, -15>>$
4. $<<16, 9>>$
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c
If vector $v = < -3,14 >$ and vector $w = < -8,8 >$, what is the result of $w - v$ ?
1. $< 11,-22>$
2. $< 5,6 >$
3. $< -11,0 >$
4. $< -5,-6 >$
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c
If vector $t = < 13,28 >$ and vector $r = < -13,-28 >$, what is the result of $t - r$ ?
1. $< -26,-56 >$
2. $< 0,0 >$
3. $< 26,56 >$
4. $< 41,-41 >$
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 $vec(r) - vec(t)$ ?
1. $<< -26,-56 >>$
2. $<< 0,0 >>$
3. $<< 26,56 >>$
4. $<< 41,-41 >>$
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
If vector $vec(t) = << 13,28 >>$ and vector $vec(r) = << -13,-28 >>$, what is the result of $vec(r) +vec(t)$ ?
1. $<< -26,-56 >>$
2. $<< 0,0 >>$
3. $<< 26,56 >>$
4. $<< 41,-41 >>$
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
If vector $vec(v) = << 13,28 >>$ and vector $vec(w) = << 6,14 >>$, what is the result of $vec(v) + vec(w)$ ?
1. $<< -15,-8 >>$
2. $<< -7,-14 >>$
3. $<< 7,14 >>$
4. $<< 19,42 >>$
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
If vector $t = < 13,28 >$ and vector $r = < -13,-28 >$, what is the result of $t + r$ ?
1. $< -26,-56 >$
2. $< 0,0 >$
3. $< 26,56 >$
4. $< 41,-41 >$
Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5a
If $vec(u)=<< -3,6 >>$, what is the value of $5vec(u)$?
1. $<< -15,30 >>$
2. $<< 15,-30>>$
3. $<< 2,11 >>$
4. $<< -8,1 >>$
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