Find a unit vector that is orthogonal to both i + j and i + k

Vectors:

i = [1 0 0]

j = [0 1 0]

k = [0 0 1]

i + j = [1 1 0]

i + k = [1 0 1]

We want a vector which is orthogonal to both i + j and i + k, so the escalar procut between our vector "v" and i + j, i + k is equal to 0

Let's say v = [x y z]

v . (i + j) = [x y z] . [1 1 0] = x.1 + y.1 + z.0 = 0 => x + y = 0

v . (i + k) = [x y z] . [1 0 1] = x.1 + y.0 + z.1 = 0 => x + z = 0

So, we can say:

x + y = 0 => x = -y

x + z = 0 => x = -z

If x = -y:

x + z = 0

-y + z = 0

z = y = a and x = -a

We know it's a unit vector, so:

So,

y = z = a = and x = -a =

v = [ ]

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

pls mark as brainliest

answer: b)

step-by-step explanation:

its a dot plot because since the score is not high numbers.

- r3ktforgood ☕