All categories

3 years ago

Use the dot product to determine whether the vectors are parallel, orthogonal, or neither. v = (sqrt)2j, w = 4i

Mathematics

2 answers:

Paul [167]3 years ago

5 0

Heres the equation

v=0i+2√j
w=4i+0j

svetoff [14.1K]3 years ago

4 0

Hello,

As $\vec{i}*\vec{j}=0\\
\vec{v}*\vec{w}=\sqrt{2}*\vec{i}*4*\vec{j}=4*\sqrt{2}*0=0$
Vectors are orthogonal.

You might be interested in

What is the equation in point-slope form of the line passing through (1, 9) and (1, 11)? (5 points)

DerKrebs [107]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Which table shows the greatest ratio of dollars earned to hours worked

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

Take the first number from the money earned number list. Then, divide it by the first number from the other side. This way you will find the rate of change. Do that to every answer choice, and compare the rate of changes to find the greater one.

4 0

3 years ago

How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 95% confidence that

zimovet [89]

Answer:

61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.

Step-by-step explanation:

Given : We want 95% confidence that the sample mean is within 3 minutes of the population mean, and the population standard deviation is known to be 12 minutes.

To find : How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters?

Solution :

At 95% confidence the z-value is z=1.96

The sample mean is within 3 minutes of the population mean i.e. margin of error is E=3 minutes

The population standard deviation is s=12 minutes

n is the number of sample

The formula of margin of error is given by,

$E=\frac{s\times z}{\sqrt{n}}$

Substitute the value in the formula,

$3=\frac{12\times 1.96}{\sqrt{n}}$

$3=\frac{23.52}{\sqrt{n}}$

$\sqrt{n}=\frac{23.52}{3}$

$\sqrt{n}=7.84$

Squaring both side,

$n=61.4656$

Therefore, 61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.

6 0

3 years ago

Read 2 more answers

Suppose that we have two identical boxes: box 1 and box 2. box 1 contains 5 red balls and 3 blue balls. box 2 contains 2 red bal

sineoko [7]

(a) The probability of drawing a blue marble at random from a given box is the number of blue marbles divided by the total number of marbles. We assume that the probability of selecting one of two boxes at random is 1/2 for each box.

... P(blue) = P(blue | box1)·P(box1) + P(blue | box2)·P(box2) = (3/8)·(1/2) + (4/6)·(1/2)

... P(blue) = 25/48 . . . . probability the ball is blue

(b) P(box1 | blue) = P(blue & box1)/P(blue) = (P(blue | box1)·P(box1)/P(blue)

... = ((3/8)·(1/2))/(25/48)

... P(box1 | blue) = 9/25 . . . . probability a blue ball is from box 1

8 0

3 years ago

2(c-5) - 3 What is the answer?

Sveta_85 [38]

Step-by-step explanation:

2 · c - 5 · 2 - 3 = 2c - 10 - 3

2c - 10 - 3 = 2c - 7

7 0

3 years ago