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strojnjashka [21]

3 years ago

10

How are dot products useful?

2 answers:

nata0808 [166]3 years ago

6 0

Answer:

An important use of the dot product is to test whether or not two vectors are orthogonal. Two vectors are orthogonal if the angle between them is 90 degrees. ... Thus, two non-zero vectors have dot product zero if and only if they are orthogonal.

Step-by-step explanation:

Alex777 [14]3 years ago

3 0

Dot product is to test whether or not two vectors are orthogonal. Two vectors are orthogonal if the angle between them is 90 degrees. ... Thus, two non-zero vectors have dot product zero if and only if they are orthogonal.

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A fair coin is tossed 100 times. What is the probability that more than 55 heads are observed?

Snezhnost [94]

Let us say T= probability of head turning up = 1/2 in one toss
H = probability of a tail turning up = 1/2 in one toss

Then P (56 heads or more) =
   1/2^100 [ C(100,56) + C(100,57) + C(100,58) + ....
       C(100,98) + C(100,99) + C(100,100) ]

   where C(N, R) = N ! / [ (N - R)! R! ] number of occurrances of R formed from
   N tosses.

4 0

3 years ago

Read 2 more answers

Find a and b if the points p(6,0) and q(3,2) lie on the graph of ax + by =12

s2008m [1.1K]

Answer:

$a= 2$

$b = 3$

Step-by-step explanation:

Given

$p(x,y) = (6,0)$

$q(x,y) = (3,2)$

$ax + by = 12$

Required

Find a and b

In $p(x,y) = (6,0)$ , $x = 6$ and $y = 0.$

This gives:

$a*6 + b*0 = 12$

$6a = 12$

Divide by 6

$a= 2$

In $q(x,y) = (3,2)$ . $x = 3$ and $y = 2.$

This gives:

$a*3 + b*2 = 12$

$3a + 2b = 12$

Substitute 2 for a

$3*2 + 2b = 12$

$6 + 2b = 12$

Collect Like Terms

$2b = 12 - 6$

$2b = 6$

Divide by 2

$b = 3$

7 0

3 years ago

a factory can assemble 3400 ipods in an 8 hour shift. how long would it take to assemble 100000 pods?

Sever21 [200]

Answer:

almost 235.3 hours

Step-by-step explanation:First you should find the speed

how many ipods ca be aaembled during one hour.

3400 ipods/8 hour=425ipods/hour

100000/425=235.3

3 0

3 years ago

Read 2 more answers

The sum of (2a + ab + 2b) + (4a2 - 3ab + 9)

Sati [7]

You can only add/subtract like terms so:

2a+ab+2b+4a^2-3ab+9

2a-2ab+2b+4a^2+9 (the only like terms were ab and -3ab)

4 0

3 years ago

Which of the following is the product of the rational expression shown below

wolverine [178]

Option C: $\frac{x^{2}-9}{x^{2}-4}$ is the product of the rational expression.

Explanation:

The given rational expression is $\frac{x+3}{x+2} \cdot \frac{x-3}{x-2}$

We need to determine the product of the rational expression.

<u>Product of the rational expression:</u>

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

$\frac{(x+3)(x-3)}{(x+2)(x-2)}$

Let us use the identity $(a+b)(a-b)=a^2-b^2$ in the above expression.

Thus, we get;

$\frac{x^{2} -3^2}{x^{2} -2^2}$

Simplifying the terms, we get;

$\frac{x^{2}-9}{x^{2}-4}$

Thus, the product of the rational expression is $\frac{x^{2}-9}{x^{2}-4}$

Hence, Option C is the correct answer.

6 0

3 years ago