Question

Correct answers only please put number with answer ex:(1.A, 2.B, 3.C etc.)

Answer 1

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Here, $\frac{3}{4}v$ tells us that the vector $v$ is impacted by a scale factor of $\frac{3}{4}$, so we are doing scalar multiplication basically for both components of the vector. This only impacts the magnitude of the vector and not its direction. If we were to assume that $v=\langle4,8\rangle$, then $\frac{3}{4}v=\langle\frac{3}{4}(4),\frac{3}{4}(8)\rangle=\langle3,6\rangle$. Therefore, this matches vector $u$, so D is the correct answer

Problem 2

Cannot be able to read as the text is too small

Problem 3

Cannot be able to read as the text is too small

Problem 4

$-7u=\langle-7(8),-7(-4)\rangle=\langle-56,28\rangle=-56i+28j$, so A is correct. Remember to use scalar multiplication for each component.

Problem 5

$r-s=\langle5-9,11-(-8)\rangle=\langle-4,19\rangle$, so B is correct. Remember to subtract the horizontal and vertical components seperately.