Let u = (1, 2, 3), v = (2, 2, -1), and w = (4, 0, -4). Find 4u + 3v - w. STEP 1: Multiply each vector by a scalar. 4u = 3v = -W = STEP 2: Add the results from Step 1. 4u + 3v - w =

Answers

Answer 1

To find the expression 4u + 3v - w, we first need to multiply each vector by its respective scalar value and then perform the addition. The vectors u, v, and w are given as (1, 2, 3), (2, 2, -1), and (4, 0, -4), respectively.

To find 4u, we multiply each component of vector u by 4: 4u = (4 * 1, 4 * 2, 4 * 3) = (4, 8, 12).

Similarly, for 3v, we multiply each component of vector v by 3: 3v = (3 * 2, 3 * 2, 3 * -1) = (6, 6, -3).

Lastly, for -w, we multiply each component of vector w by -1: -w = (-1 * 4, -1 * 0, -1 * -4) = (-4, 0, 4).

Now we can add the results together: 4u + 3v - w = (4, 8, 12) + (6, 6, -3) - (-4, 0, 4).

Performing the addition component-wise, we get (4 + 6 - (-4), 8 + 6 - 0, 12 - 3 - 4) = (14, 14, 5).

Therefore, the expression 4u + 3v - w evaluates to (14, 14, 5).

Learn more about vector here:

https://brainly.com/question/30958460

#SPJ11

Related Questions

(6 + 3) = (4 - 5) =

Answers

Answer:

if you need to evaluate it its

Evaluate.

9=−1

however if you need to

Determine if True its False

hoped that help

Answer:

its 18, -9, 30

Step-by-step explanation:

just did it

17. The expression x2 - 12x + 36 represents the
area of a rectangular chalkboard. What is the factored
form of the expression? If each factor represents the
height and width of the chalkboard, what is the most
specic description of its shape?
A.(x-6), square
c B. (X - 5)(x + 6); rectangle
C. (x + 5)2: square
D. (x - 12): square

Answers

A

Find two numbers that multiply to 36 and add to -12. Those two numbers are -6 and -6, making the factored form (x-6)(x-6) or (x-6)^2

evaluate the double integral x^2 2y da d is bounded by y=x, y=x^3

Answers

The value of the double integral is 0.

How to find the value of double integral?

We are given the double integral:

$\int \int x^2 2y$ da,

where d is bounded by y=x and y=x³.

To evaluate this integral, we first need to find the limits of integration for x and y.

Since d is bounded by y=x and y=x³, the limits of integration for y are from y=x to y=x³.

For a fixed value of y, the limits of integration for x are from$x=y^(^1^/^3^)$to $x=y^(^1^/^2^)$, since $y^(^1^/^3^)$ is the smaller x-value on the curve y=x³ and $y^(^1^/^2^)$ is the larger x-value on the curve y=x.

Therefore, the integral becomes:

∫ from $x=y^(^1^/^3^)$ to $x=y^(^1^/^2^)$ ∫ from y=x to y=x³ x² 2y dy dx

Integrating with respect to y first, we get:

∫ from $x=y^(^1^/^3^)$ to $x=y^(^1^/^2^) [(y^4^/^2^) - (y^2^/^2^)] x^2 dx$

Simplifying, we get:

∫ from $x=y^(1^/^3^) to x=y^(^1^/^2^) [(y^4^/^2^) - (y^2^/^2^)] x^2 dx$

$= (1/10) [y^(^5^/^2^) - y^(^7^/^2^)] [y^(^4^/^3^) - y^(^1^/^2^)]$

$= (1/10) [(y^3)^(^5^/^6^) - (y^3)^(^7^/^6^)] [(y)^(^4^/^3^) - (y)^(^1^/^2^)]$

$= (1/10) [y^(^5^/^3^) - y^(^7^/^3^)] [(y)^(^4^/^3^) - (y)^(^1^/^2^)]$

Integrating this expression with respect to x, we get:

$= (1/30) [y^(^5^/^3^) - y^(^7^/^3^)] [(y^2)^(^4^/^3^) - (y^2)^(^1^/^2^)]$

$= (1/30) [y^(^5^/^3^) - y^(^7^/^3^)] [(y^(^8^/^3^) - y)^(^1^/^2^)]$

Now we can evaluate the integral by plugging in the limits of integration for y:

$= (1/30) [(y^(^5^/^3^) - y^(^7^/^3^))] [(y^(^8^/^3^) - y)^(^1^/^2^)]$ evaluated from y = 0 to y = 1

$= (1/30) [(1 - 1/1)] [(1 - 0)^(^1^/^2^)] - (1/30) [(0 - 0)] [(0 - 0)^(^1^/^2^)]$

= 0

Therefore, the value of the double integral is 0.

Learn more about double integral

brainly.com/question/31404551

#SPJ11

The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first base throws the ball to a player at third base, what is the distance the player has to throw?

Answers

Answer:

120ft

Step-by-step explanation:

If the bases are 120ft apart from each other you would have to find the distance of going from first to second then to third. Then you divide it in half because you arent going around the diamond, you are cutting right through it.

Answer:

Step-by-step explanation:

While going upstream, a boat takes 6 hours to cover a certain distance. It takes only 4 hours to cover the same distance going downstream. Of the speed of the boat is 8 miles/hr, find the speed of the stream.

Answers

Assume distance is LCM(6,4) = 12 km/s and72 km/s is the speed of the stream.

What is the speed ?

The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.