Given:
Two vectors are:


To find:
The projection of u onto v.
Solution:
Magnitude of a vector
is:

Dot product of two vector
and
is:

Formula for projection of u onto v is:




On further simplification, we get



Therefore, the projection of u onto v is
.
Answer:
She have 345$ in her account.
Step-by-step explanation:
Given that,
Ellen has $75 in her savings account she deposits 25 every week her father also deposit 35 into the account every time Ellen most salon
Suppose, her savings account balance can be shown with the following expression:
75 + 25w + 35m
If Ellen saves for 8 weeks and most the salon 2 times, how much will she have in her account.
We know that,
When the numbers appear with variables it called coefficients.
When the numbers appear without variables it called constant.
Alphabets in an expression are called variables.
According to question,
25 and 35 are the coefficients and the number 75 appear without variables.
We need to calculate the balance in her account
Using expression

Put the value in the expression


Hence, She have 345$ in her account.
Answer:
36!
Step-by-step explanation:
Answer:
The answer to your question is the letter C
Step-by-step explanation:
Data
When we multiply a scalar by a matrix, we must multiply the scalar by each of the numbers of the matrix and the result of the multiplication stays in the same place.
For this problem:
3 | -2 0 | = | (-2 x 3) (0 x 3) |
| 4 -7 | | (4 x 3) (-7 x 3) |
= | -6 0 |
| 12 -21 |
Step-by-step explanation:
1/2 x + 1/4 x + 1/8 x = 14
4/8 x + 2/8 x + 1/8 x = 14
7/8 x = 14
x = 14 * (8/7) = 16.