Compute $u + v$ and $u - 3 v$
$u = [\begin{array}{r} - 1 \\ 2 \end{array}], v = [\begin{array}{r} - 2 \\ 1 \end{array}]$

Answer

Expert–verified

Hide Steps

Answer

So, the final answers are $[\begin{array}{r} - 3 \\ 3 \end{array}]$ and $[\begin{array}{r} 5 \\ - 1 \end{array}]$

Steps

Step 1 ：Given vectors are $u = [\begin{array}{r} - 1 \\ 2 \end{array}]$ and $v = [\begin{array}{r} - 2 \\ 1 \end{array}]$

Step 2 ：To compute $u + v$ , we add the corresponding components of the two vectors, which gives us $u + v = [\begin{array}{r} - 3 \\ 3 \end{array}]$

Step 3 ：To compute $u - 3 v$ , we first multiply the vector $v$ by the scalar -3, and then subtract the resulting vector from $u$ , which gives us $u - 3 v = [\begin{array}{r} 5 \\ - 1 \end{array}]$

Step 4 ：So, the final answers are $[\begin{array}{r} - 3 \\ 3 \end{array}]$ and $[\begin{array}{r} 5 \\ - 1 \end{array}]$

Compute u+v and u−3vu=[−12],v=[−21]

Answer

Popular Problems

Compute $u + v$ and $u - 3 v$
$u = [\begin{array}{r} - 1 \\ 2 \end{array}], v = [\begin{array}{r} - 2 \\ 1 \end{array}]$