How do you estimate fractions?Like 1/4 times 1/9

(6, - 3, 1) and (8,9,-11) find the angle between the vector

Svetllana [295]

Answer:

The angle between the two vectors is 84.813°.

Step-by-step explanation:

Statement is incomplete. Complete form is presented below:

<em>Let be (6,-3, 1) and (8, 9, -11) vector with same origin. Find the angle between the two vectors. </em>

Let $\vec u = \langle 6, -3, 1 \rangle$ and $\vec v = \langle 8,9,-11 \rangle$ , the angle between the two vectors is determined from definition of dot product:

$\theta = \cos^{-1} \left(\frac{\vec u \,\bullet \,\vec v}{\|\vec u\|\cdot \|\vec v\|} \right)$ (1)

Where:

$\vec u$ , $\vec v$ - Vectors.

$\|\vec u\|$ , $\|\vec v\|$ - Norms of each vector.

Note: The norm of a vector in rectangular form can be determined by either the Pythagorean Theorem or definition of Dot Product.

If we know that $\vec u = \langle 6,-3,1 \rangle$ and $\vec v = \langle 8, 9,-11 \rangle$ , then the angle between the two vectors is:

$\theta = \cos^{-1}\left[\frac{(6)\cdot (8) + (-3)\cdot (9) + (1)\cdot (-11)}{\sqrt{6^{2}+(-3)^{2}+1^{2}}\cdot \sqrt{8^{2}+9^{2}+(-11)^{2}}} \right]$

$\theta \approx 84.813^{\circ}$

The angle between the two vectors is 84.813°.

6 0

2 years ago

A student writes the inequality x > 17 in interval notation as [17, POS INF]. Explain why this is incorrect.

krok68 [10]

Answer:

see explanation

Step-by-step explanation:

[ 17, + ∞ ] are used to indicate that the values inside are equal to the 2 limits, that is that x can equal 17 or + ∞

However, this as not the case as x > 17 indicates x is greater than 17 but not equal to it. This is also true for + ∞

To represent this situation parenthesis is used, that is

(17, + ∞ )

8 0

2 years ago

the area of square Garden is 625 metre square find its length its perimeter and find the cost of fencing it with 5 round at Rs 2

Mazyrski [523]

Answer:

Length=25m

Parameter=100m

5 round cost RS 12500

Step-by-step explanation:

The area of a square

=x²

According to the question the equation is

x²=625

x=√625

x=25

The parameter is

25×4

100 meter

So

1 meter costs 25

100 " " 25×100

2500

1 round = 100 meter

So

5 round cost 2500×5

12500

8 0

2 years ago

A system of two equations is shown below: equation

Ber [7]

The answer is c, or 3b+6!!

7 0

2 years ago

When Jean was asked to say what the 3 in the fraction 2

JulijaS [17]

Fractions are quotients of two integers

A better way to say what the 3 in 2/3 represents is that, 3 is the denominator

<h3>How to determine what 3 represents</h3>

The fraction is given as: 2/3

A fraction is represented as: Numerator/ Denominator

By comparison;

Numerator = 2
Denominator = 3

Hence, a better way to say what the 3 in 2/3 represents is that, 3 is the denominator