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# Operations on Vectors (Grades 11-12)

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## Operations on Vectors

1.
If $vec(u)=<< -3,6 >>$, what is the value of $5vec(u)$?
1. $<< -15,30 >>$
2. $<< 15,-30>>$
3. $<< 2,11 >>$
4. $<< -8,1 >>$
2.
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. $<< 19,42 >>$
3.
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. $<< 9,11 >>$
4.
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. $<< -17,-16 >>$
5.
If you multiply $vec(u)=<< 4,-6 >>$ by a scalar and the result is $vec(u)=<< 8,-12 >>$, what is the scalar?
1. $4$
2. $2$
3. $-6$
4. $1/2$
6.
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. $<< 41,-41 >>$
7.
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. $<< 41,-41 >>$
8.
If $vec(u)=<< 5,8 >>$, what is the value of $2vec(u)$?
1. $<<3,6>>$
2. $<<2.5,4>>$
3. $<< 10,16>>$
4. $<<7,10>>$
9.
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. $<< 19,42 >>$
10.
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. $<< 4,-4 >>$
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