All categories

3 years ago

Find the angle θθ between the vectors v=2i+kv=2i+k, w=j−3kw=j−3k.

1 answer:

4 0

Hello :
v . w = <span>| | v | | × </span><span>| | w | | cos(</span><span>θ) ....(1)
v(2,0,1) w(0,1,-3)

</span>v . w = (2)(0)+(0)(1)+(1)(-3) = - 3
| | v | | = √((2)²+(0)²+(1)²) = <span>√5
</span>| | w | = √((0)²+(1)²+(-3)²) = √10
by (1) :
cos(θ) = (v . w ) / | | v | | × | | w | |

cos(θ) = = - 3/√50
θ =..... calculate by 2ind function ( calculator)

You might be interested in

A car is traveling 25 miles per hour. How fast is this in feet per minute? (1 mile = 5,280)

Alinara [238K]

2.4 miles per minute
Hope this help

7 0

3 years ago

Read 2 more answers

What is 2,453 + 61.18

kolbaska11 [484]

Answer:

63,633

Step-by-step explanation:

2,453 + 61,18

= 63,633

6 0

2 years ago

Min-Jee is planting two rectangular flower beds. One bed is 2.78 feet by 4.81 feet, and the other bed is 2.78 feet by 5.61 feet.

shusha [124]

Answer: $(2.78+4.81)(2.78+5.61)$

Step-by-step explanation:

<h3> The complete exercise is attached.</h3><h3></h3>

The area of a rectangle can be calculated with this formula:

$A=lw$

Where "l" is the lenght and "w" is the width.

Then, you can notice that it can be obtained by multiplying the dimensions of the rectangle.

Knowing this, you can determine that the total area of the two flowers bed can be obtained by adding the products of their dimensions.

Since one of the rectangular flower bed is 2.78 feet by 4.81 feet and the other bed 2.78 feet by 5.61 feet, you can write the following expression to find the total area (in square feet)of the two beds:

$2.78*4.81 +2.78*5.61$

If you factor out 2.78:

$2.78(4.81 +5.61)$ or $(4.81 +5.61)2.78$

Therefore, the expression that does not represent the total area in square feet of the two beds, is:

$(2.78+4.81)(2.78+5.61)$

6 0

3 years ago

Read 2 more answers

Which equation represents a proportional relationship?

Sergeu [11.5K]

There is no equations

7 0

3 years ago

Read 2 more answers

Manny and Susan have an egg carton full of eggs to use for their science project.

scoray [572]

Answer:

5/6

Step-by-step explanation:

1/3 + 1/2 is a simple addition fraction problem.

You'd find the LCM (lowest common denominator) which is 6. First, we'll take 1/3 which the denominator becomes 6. You see one side has been basically multiplied by 2, so you'd do it to both sides, giving us 2/6. Next, we do the same thing with 1/2. 2 -> 6 1 -> 3. 3/6. So finally, we have 3/6 + 2/6, which is 5/6.

6 0

2 years ago