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katovenus [111]
2 years ago
6

What is the equation of the blue line below? HELP

Mathematics
1 answer:
zzz [600]2 years ago
4 0

Answer: Answer choice B

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Determine as a linear relation in x, y, z the plane given by the vector function F(u, v) = a + u b + v c when a = 2 i − 2 j + k,
Ostrovityanka [42]

Answer:

2x - y - 3z = 0

Step-by-step explanation:

Since the set

{i, j}  = {(1,0), (0,1)}

is a base in \mathbb{R}^2

and F is linear, then

<em>{F(1,0), F(0,1)}  </em>

would be a base of the plane generated by F.

F(1,0) = a+b = (2i-2j+k)+(i+2j+k) = 3i+2k

F(0,1) = a+c = (2i-2j+k)+(2i+j+2k) = 4i-j+3k

Now, we just have to find the equation of the plane that contains the vectors 3i+2k and 4i-j+3k

We need a normal vector which is the cross product of 3i+2k and 4i-j+3k

(3i+2k)X(4i-j+3k) = 2i-j-3k

The equation of the plane whose normal vector is 2i-j-3k and contains the point (3,0,2) (the end of the vector F(1,0)) is given by

2(x-3) -1(y-0) -3(z-2) = 0

or what is the same

2x - y - 3z = 0

3 0
3 years ago
Marissa counted 29 coins in her change purse which contained, d, dimes and, q, quarters. The value of the coins is $5.00. How ma
avanturin [10]

Answer:

i think the rubber ducky in the bath died on the celling so she was happy and then there was a puddle of tears on the ground so thats why u should never go to school

Step-by-step explanation:

4 0
2 years ago
A whale is 24 meters long. a rhinoceros is 400cm long which is longer how much longer?
klemol [59]
The whale is longer
because 1 meter is = 100 cm
8 0
3 years ago
Read 2 more answers
Write an explicit formula for an, the nth term of the sequence 19,24,29
o-na [289]

Answer:

explicit formula for an, the nth term of the sequence 19,24,29

a_1=19 ; \ a_n=a_{n-1}+5

Step-by-step explanation:

We need to Write an explicit formula for an, the nth term of the sequence 19,24,29

In the sequence the First term a₁= 19

Common Difference d= 5

The Formula used for explicit formula is: a_1=First \ term ; \ a_n=a_{n-1}+d

Where d is common difference and n is nth term of sequence.

So, explicit formula for an, the nth term of the sequence 19,24,29

a_1=19 ; \ a_n=a_{n-1}+5

3 0
3 years ago
On Monday, 375 students went on a trip to the zoo. All 9 buses were filled and 6 students had to travel in cars. how many stu
lozanna [386]

Answer:

41

Step-by-step explanation:

(375-6)÷9=369÷9=41

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3 years ago
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