Answer:
Step-by-step explanation:
given are two vectors
![B=-i-4j\\A = 3i-2j](https://tex.z-dn.net/?f=B%3D-i-4j%5C%5CA%20%3D%203i-2j)
a) A+B = sum of twovectors = simply adding corrsponding compnents
=![2i-6j](https://tex.z-dn.net/?f=2i-6j)
Magnitude of the above vector = ![\sqrt{2^2+6^2} \\=2\sqrt{10}](https://tex.z-dn.net/?f=%5Csqrt%7B2%5E2%2B6%5E2%7D%20%5C%5C%3D2%5Csqrt%7B10%7D)
Direction is making an angle of arc tan (-3) with x axis
b) A-B = Difference
= ![4i+2j](https://tex.z-dn.net/?f=4i%2B2j)
Magnitude of difference vector = ![\sqrt{4^2+2^2} \\=2\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B4%5E2%2B2%5E2%7D%20%5C%5C%3D2%5Csqrt%7B5%7D)
Direction is making an angle of arctan (1/2) with positive x axis.
(angle = arctan (jcomponent/icomponent)
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (3, 11) and (x₂, y₂ ) = (6, 17) ← ordered pairs from the table
m =
=
= 2 → A
The quick and easy answer is 3/100
3x+5
multiply the numbers