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True [87]
3 years ago
7

Vectors... Let u = <-3, -5>, v = <-3, 1>. Find u + v.

Mathematics
1 answer:
Anni [7]3 years ago
3 0
-3 + -3 = 0
-5 + 1 = -4
vector = < 0,-4 >
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How does multiplying a vector by a scalar value of -pi / 4 change the vector?
amm1812
<h2>Hello!</h2>

The answer is:

The second option:

The vector will change  direction and decrease in magnitude.

<h2>Why?</h2>

Multiplying a vector by a scalar will modify the magnitude of the vector, depending if the scalar is less or greater than "1" also, when a scalar has a negative sign, the direction of the new vector will be the opposite that the original vector.

Solving

We are given that the scalar value is equal to:

-\frac{\pi }{4}=-0.79

Let's use as original vector, the following vector:

A=(2,2)

Calculating its magnitude, we have:

|A|=\sqrt{2^{2} +2^{2} }=2.83

Then, multiplying the vector by the given scalar, we have:

(-0.79A)=((-0.79)*2,-(0.79)*2)=(-1.58,-1.58)

As we can see, the vector changed its direction, since both components are negative.

Calculating the magnitude of the new vector, we have:

|A'|=\sqrt{(-1.58)^{2} +(-1.58)^{2} }=2.23

We can see that the given scalar is less than "1", so the magnitude will decrease, also, the direction is the opposite of the original vector direction since both components have changed its sign.

Hence, we have that the magnitude of the new vector is less than the magnitude of the original vector, also, we can see that the direction of the new vector is the opposite of the original vector direction, so, the answer is the second option, the vector will change direction and decrease in magnitude.

Have a nice day!

5 0
3 years ago
I will mark brainliest to the first answer!!
Novay_Z [31]

Answer:

I think the correct answer is

A. (-2)

Step-by-step explanation:

This answer seems the most reasonable compared to the others

Hope this helps!

3 0
3 years ago
Read 2 more answers
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Novay_Z [31]

Answer:

Step-by-step explanation:

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4 0
3 years ago
four-fifths of the senior class went to prom. if 324 seniors went to prom, how many are there in the senior class
romanna [79]

The answer to your question is 405, because look divide 324 by 4 becasue thats how many fifths are being used then multiply the answer which is 81 by 405

3 0
3 years ago
LOTS OF POINTS!
icang [17]
<span>Let us first find a ratio between the quantity of work done by Darnell and Julius. If Darnell does one part of the work, Julius does two parts of the work. That is, their work quantity ratio is 1:2. (Total 3 parts) In other words when Darnell does 1/3 of the work, Julius does 2/3 of the work. When they work together, the work is completed in 4 hours. 4 hours work is the combined output of 1/3 by Darnell and 2/3 by Julius. If Julius was not there, Darnell would have to work for more than 4 hours. We already know that Darnell does only 1/3 of a work during any given time. If the given time is 4 hours, how many one-thirds will Darnell require? To find the answer, divide the given number (4 hours in this case) by the given fraction( 1/3 in this case) To divide a number by a fraction, multiply the number by the reciprocal of the fraction. Thus it becomes 4 divided by 1/3 = 4 x 3/1 = 12. (Another hint: At the rate of 1/3 of a work in one hour, Darnell will needs 3 hours to complete the given task. If the given work is 4 hours long, Darnell will take 4 x 3 hours, that is 12 hours.)</span>
6 0
3 years ago
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