B. 18
Explanation
The dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number
it is given by.
so, we can find the dot product by multiplying the corresponding values in each vector and adding them together
Step 1
get the dot product
let
then
therefore, the answer is
B. 18
I hope this helps you
Answer:
Step-by-step explanation:
There are 11 students in total.
6 girls.
and 5 boys.
so the probability of selecting a girl is 1/5 because 5 boys or it could be 1/11 if i am not mistaken.
(which i might be)
To answer this question you need to know the conversion rate from kilometer into cm. For every kilometer it would be 1000m and for 1m it will be 100cm. That mean 1km is equal to 100,000cm or 10^5 cm. Then the answer would be:
(3.34 * 10^5 cm) * (1km/10^5cm)= 3.34km
Three points are collinear if their determinant is equal to 0
So,
| 0 -10 1 |
| -3 -15 1 |
| 2 -6 1 |
We must put 1 at the third column since we don't have z in these points, and 1 is a neutral factor.
Applying sarrus
( 0 . -15 . 1 + -10 . 1 . 2 + 1 . -3 . -6) - (1 . -15 . 2 + 0 . 1 . -6 + -10 . -3 . 1)
(0 - 20 + 18) - (-30 + 0 + 30)
(-2) - (0)
-2
Our determinant is different than 0, so these points are not collinear.