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Nastasia [14]
3 years ago
8

What would be the quickest way to complete a rotation of 270 degrees clockwise

Mathematics
1 answer:
givi [52]3 years ago
7 0
Not sure the type of answer you are looking for. Yet 270 degrees is 3/4 of a full turn. (90 x 3)

Therefore you could state 3/4 of a turn. Also, 1/4 of a clockwise turn would work.
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find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B
SashulF [63]

Answer:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3

|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{ab}{|a| |b|}

And the angle is given by:

\theta = cos^{-1} (\frac{ab}{|a| |b|})

If we replace we got:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

3 0
3 years ago
Warren’s tape measure is marked in increments of 1/16 inch, not in decimal numbers. To measure the tiles, he needs to know the s
Bezzdna [24]

Answe

Step-by-step explanation:

3 0
3 years ago
What is the product?
Dmitrij [34]

Answer:

-3

4

Step-by-step explanation:

You need to take something called the dot product

6 0
3 years ago
Read 2 more answers
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Travka [436]

Answer:

63 :)

Step-by-step explanation:

3 0
3 years ago
Tom has a gift box that is 3 units long, 6 units wide, and 12 units tall. What is the volume of the gift?
Kryger [21]

Answer:

216

Step-by-step explanation:

LxWxH fill it in 3x6x12=216

5 0
2 years ago
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