The product of the vectors v and w is gotten as; v ⋅ w = 22
<h3>What is the product of the vectors?</h3>
We are given the vectors;
r = <8, 8, -6>
v = <3, -8, -3>
w = <-4, -2, -6>
We want to evaluate v.w which is a product of both vectors.
The formula will be;
v.w = (v_x * w_x) + (v_y * w_y) + (v_z * w_z)
Plugging in the values and solving gives;
v.w = (3 * -4) + (-8 * -2) + (-3 * -6)
v.w = -12 + 16 + 18
v.w = 22
We can conclude that the vector expressions has a product of 22
Read more about Vector Products at; brainly.com/question/9131049
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Answer:
OPTION C: 60%
Step-by-step explanation:
Chances of raining the next day + Chances that it will not rain = 100%
One of them should definitely be true.
So, if the chance of it raining tomorrow is 40% then there is 60% chance that it will not rain tomorrow.
This can also seen as follows:
Probability of rain tomorrow + Probability of no rain = 1
Given Probability of rain tomorrow = 40% = 
Probability of no rain tomorrow = 1 - Probability of rain tomorrow
⇒ Probability of no rain = 1 - 
⇒ Probability of no rain = 
Expressing it as percentage:
= 60%.
Hey user!
your answer is here..
I don't think that the area of the rectangle will also double if it's sides are doubled.
let us check :D
given :-
length of the rectangle = 5cm
breadth of the rectangle = 3cm
area of the rectangle = l × b
= 5 × 3
= 15 cm²
if the sides of the rectangle is doubled, then the length of the side will be :-
length = 5 × 2 = 10cm
breadth = 3 × 2 = 6cm
area of new rectangle = l × b
= 10 × 6
= 60 cm²
now, double of 15cm² = 15 × 2 = 30cm²
and the area of new rectangle is 60cm²
hence the area won't be double.
cheers!!
Answer:
x=24
y = 8 sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use sin and cos
sin 30 = opposite/ hypotenuse
sin 30 = y/ 16 sqrt(3)
Multiply each side by 16 sqrt(3)
16 sqrt(3) * sin 30 = y
16 sqrt(3) * 1/2 = y
8 sqrt(3) = y
cos 30 = adjacent/ hypotenuse
= x/16 sqrt(3)
Multiply each side by 16 sqrt(3)
16 sqrt(3) cos 30 = x
16 sqrt(3) * (sqrt(3)/2) = x
8 * sqrt(3)*sqrt(3)
8 * 3 = x
24 =x