All categories

3 years ago

Given that v = (5,-4, 4) and w = (9-2,7) , evaluate v • w.

Mathematics

1 answer:

yuradex [85]3 years ago

4 0

Answer:

Step-by-step explanation:

Given

u = (x₁, y₁, z₁ ) and v = (x₂, y₂, z₂ ) then the dot product is

u • v = (x₁ x₂ ) + (y₁ y₂ ) + (z₁ z₂ )

Then

v • w

= (5 × 9) + (- 4 × - 2) + (4 × 7)

= 45 + 8 + 28

= 81 → a

You might be interested in

a species of cicada has a life cycle of 17 years a parasite that harms the cicada has a life cycle of 4 years if the last known

irga5000 [103]

Answer:

What grade are you in. and let me see the choices

Step-by-step explanation:

3 0

3 years ago

Solve this quadratic inequalitie with detailed full explanation

ANTONII [103]

$x^2\leq16\\x\leq 4 \wedge x\geq -4\\x\in\langle-4,4\rangle$

different approach:

$x^2\leq16\\x^2-16\leq0\\(x-4)(x+4)\leq0$

see attachment

$x\in\langle-4,4\rangle$

7 0

2 years ago

Read 2 more answers

Find the distance between (-1,-2) and (8,9)

Rom4ik [11]

Answer:

$\sqrt{202}$ units or 14.2 units (rounded to the nearest tenth)

Step-by-step explanation:

To find the distance between a pair of two points, use the distance formula $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ . Substitute the x and y values of (-1,-2) and (8,9) into the formula and simplify:

$d = \sqrt{(-1-8)^2+(-2-9)^2} \\d = \sqrt{(-9)^2+(-11)^2} \\d = \sqrt{81+121} \\d= \sqrt{202}$

So, as an exact answer, the distance is $\sqrt{202}$ units.

(To find the decimal approximate of that answer, enter it into a calculator. This would make the decimal approximate 14.2 units, when rounded to the nearest tenth.)

7 0

3 years ago

Read 2 more answers

The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m

daser333 [38]

Answer:

$\dfrac{dV}{dt}=502.65\ mm^3/s$