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Mariana [72]
3 years ago
6

Find the vector reciprocal to set. a= i+2j+2k, b= 2i+3j+k, c= i-j-2k​

Mathematics
1 answer:
inn [45]3 years ago
7 0

Answer:

I just do a' as a sample. You calculate b' and c'

Step-by-step explanation:

a'=\frac{b\times c}{a\bullet (b\times c)}, b' = \frac{c\times a}{a\bullet (b\times c)}, c' = \frac{a\times b}{a\bullet (b\times c)}

Now, calculate b x c

\left[\begin{array}{ccc}i&j&k\\2&3&1\\1&-1&-2\end{array}\right] =

a'=\frac{}{\bullet }=\frac{}{-5}  =

You might be interested in
Joanne has 20 books on crafts and cooking. she has 6 more cookbooks than craft books. how many of each does she have?​
marin [14]

Answer:

Crafts books: 7

Cookbooks: 13

Step-by-step explanation:

Let x be the crafts book

Let y be the cookbooks

Solve for x:

  1. Plug x and y in: x + y = 20
  2. Re-write: y = x + 6
  3. Plug in x + 6 instead of y: x + x + 6 = 20
  4. Combine like terms: 2x + 6 = 20
  5. Subtract 6 from each side, so it now looks like this: 2x = 14
  6. Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 7

Solve for y:

  1. Re-use an equation from above: y = x + 6
  2. Plug in the value of x: y = 7 + 6
  3. 7 + 6 = 13
  4. So, y = 13

I hope this helps!

5 0
4 years ago
In a direct variation equation, f(x)=6 when x = 4. What is the direct variation equation?
jeyben [28]

Answer:

f(x) = \dfrac{3}{2}x

Step-by-step explanation:

The general direct variation equation is

y = kx

Plug in x = 4 and y = 6 and solve for k.

6 = k * 4

4k = 6

k = 6/4 = 3/2

f(x) = \dfrac{3}{2}x

7 0
4 years ago
At what time is the cake done
svp [43]
<h2>Explanation:</h2>

Here we know that at 3:17 pm you started to bake the cake. The total revolution the minute hand on the clock makes is:

\frac{5}{8}+\frac{13}{24}=\frac{7}{6} \ revolutions

We know that:

1 \ revolution ----------- 60min \\ \\ 7/6 \ revolutions -----------x

Solving for x:

x=\frac{7}{6}\times 60=70 minutes

So it takes 70 minutes after you put the cake in the oven. But:

70minutes=1h \ 10min

Adding this to the initial time:

3:17pm+1h \ 10min=4:27pm

Finally, the cake is done at 4:27 pm, option C.

5 0
3 years ago
Javier and Carlita are studying measures of spread. After looking at Dot Plot A and Dot Plot B, Carlita believes the standard de
m_a_m_a [10]

Answer:

the answer is d

Step-by-step explanation:

a standard deliation is how streaded out the number thing is

5 0
3 years ago
Read 2 more answers
A probability experiment is conducted in which the sample space of the experiment is S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
Snezhnost [94]

Answer:

The answer is " \bold{\frac{2}{3}}"

Step-by-step explanation:

Given set:

\to F \ or\  G = \{ 5,6,7,8,9,10,11,12\}

In the above-given set, there are 8 elements and 12 possible outcomes so, the equation is:

\to P( F\ or \ G) = \frac{8}{12}

                      = \frac{2}{3}

by using the general addition Rule:

\to P(F \cup G) = P(F) +P(G)- P(F \cap G)

                    =\frac{5}{12}+\frac{4}{12}- P(E \cap H)\\\\=\frac{6}{12}+\frac{3}{12}- \frac{1}{12}\\\\=\frac{6+3-1}{12}\\\\=\frac{8}{12}\\\\=\frac{2}{3}\\\\

3 0
3 years ago
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