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The vectors are linearly independent if and only if?

Alexeev081 [22]

The vectors are linearly independent if and only if k ≠ -11

<h3>How to solve the vector</h3>

In mathematics, the definition of a vector is a quantity that is made up of both magnitude and also have direction. This type of quantity is not one that is considered based on its position. A very good example of such a quantity with magnitude and direction is acceleration.

Vectors are used to represent items such as position, velocity, physical quantities and others in mathematics and in physics.

In this question,

We have 2v - 3w

We have to multiply 2 by the values of v and multiply 3 with the values of w

this would produce

[2,6,8]-[6,6,12]

subtract w from v

= [-4, 0, -4]

We u as -1, 0 and 10+k

It is not possible to -1 = 10 + k

-11 = k

Hence we have to conclude that they are linearly independent if and only if k ≠ -11

Read more on vectors here:

brainly.com/question/22363471

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6 0

3 years ago

Why was the baby cookie sad

Alenkinab [10]

Because he was crumbled in fear

3 0

4 years ago

Read 2 more answers

Write the expressions for when you translate the graph of y = x+2 a) one unit up, b) one unit down, c) one unit to the left, d)

Aleksandr-060686 [28]

Answers and Step-by-step explanations:

Vertical transformations affect the entire function, while horizontal transformations influence only the x - only the x is altered. Vertical transformations include vertical stretches and shrinks, reflections over the x axis, and translations up and/or down. Horizontal transformations are horizontal stretches and shrinks, reflections over the y axis, and translations left and/or right.

a) "translate one unit up"; since we're translating <em>up</em>, we know this is a vertical translation, which will affect the entire function. So, the function will go from y = x + 2 to y = (x + 2) + 1 or y = x + 3.

b) "translate one unit down"; again, since we're translating <em>down</em>, we know this is another vertical translation, which will affect the entire function. So, our function goes from y = x + 2 to y = (x + 2) - 1 or y = x + 1.

c) "translate one unit to the left"; since we're translating to the <em>left</em>, we know that this will be a horizontal transformation, which will only affect the x. So our function goes from y = x + 2 to y = (x + 1) + 2 or y = x + 3. (Note that "left" will use a "+" sign because horizontal transformations are weird and "backward")

d) "translate one unit to the right"; again, since we're moving to the <em>right</em>, we know this is another horizontal transformation, which will only affect the x. So our function goes from y = x + 2 to y = (x - 1) + 2 or y = x + 1. (Again note that "right" uses "-" instead of "+" as we would think because horizontal transformations are weirdly "backward").

Hope this helps!

6 0

3 years ago

Read 2 more answers

Joel walked 2/5 of a mile to the store, 3/10 of a mile to the library, and 1/20 of a mile to the post office. Let x = the total

nadezda [96]

3/4 a mile is the answer

4 0

3 years ago

Team one had 4 times less people than team two. After 6 people quit team two and 12 people were transferred from team two to tea

Snowcat [4.5K]

Answer:

There were 10 people in team one.

Step-by-step explanation:

Let x= team one.

Let y= team two

Because there four times less people in team one than in two we know that x=(1/4)y

After 6 people quit and 12 people transfer from team two, the two teams become equal. Therefore, x + 12 = y - 6 - 12.

You can then insert the initial equation for x into the second equation and know that there were 10 people in team one and 40 people in team two.

7 0

4 years ago