Question

If U= <4, -6> and V= <-3, 8> Find U+V

Answer 1

Answer:

$\langle 1,\, 2\rangle$.

Explanation:

Both $U$ and $V$ are two-dimensional vectors. In other words, each of them has two components. Each component is a number.

When adding two vectors, add each component separately. The sum should include the same number of components as the vectors that are being added.

Since $U$ and $V$ has two components each, their sum, $(U + V)$, would also include two components.

Sum the first components of $U$ and $V$ to find the first component of $(U + V)$: $4 + (-3) = 1$.

Similarly, sum the second components of $U$ and $V$ to find the second component of $(U + V)$: $-6 + 8 = 2$.

Hence, $(U + V) = \langle 1,\, 2 \rangle$.