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# Vectors Questions - All Grades

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What is the component form of the vector $vec(JK) ?$
1. $<<-4,4>>$
2. $[[-4],[4]]$
3. $4hat(i) - 4hat(j)$
4. $<<4,-4>>$
The magnitude of a vector with points $(-2,5)$ and $(4,13)$ is
1. $10$
2. $5$
3. $sqrt(7)$
4. $sqrt(14)$
Two vectors with the same direction are equal.
1. Always
2. Never
3. It depends on their magnitude
4. It depends on their end point
Two vectors with the same magnitude are equal.
1. Always
2. Never
3. It depends on their direction
4. It depends on their initial point
What are the components of a vector that has an initial point of $(-1,3)$ and a terminal point of $(8,11)$?
1. $<< 9, 8 >>$
2. $<< 7, 14 >>$
3. $<< 2, 19 >>$
4. $<< -9, -8 >>$
What are the components of a vector that has an initial point of $(1,-3)$ and a terminal point of $(6,19)$?
1. $<<-5, -22>>$
2. $<<5, 22>>$
3. $<<3, 20>>$
4. $<<-2, 25>>$
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.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.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. $7hat(i) - 12hat(j)$
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.4, HSN-VM.B.4c
If vector $vec{v} = < -3,14 >$ and vector $vec{w} = < -8,8 >$, what is the result of $vec{w} - vec{v}$ ?
1. $< 11,-22>$
2. $< 5,6 >$
3. $< -11,0 >$
4. $< -5,-6 >$
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.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.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. $<< 19,42 >>$
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