Find the magnitude of vector A = i - 2j + 3k O V14 10 O4

Physics

1 answer:

koban [17]2 years ago

7 0

Answer:

The magnitude of the given vector is $\sqrt{14}$

Explanation:

For any given vector $\overrightarrow{r}=x\widehat{i}+y\widehat{j}+z\widehat{k}$

The magnitude is given by

$|r|=\sqrt{x^2+y^2+z^2}$

comparing with the given vector $\overrightarrow{A}=1\widehat{i}-2\widehat{j}+3\widehat{k}$

we get

x = 1, y = -2, z = 3

Thus the magnitude of vector A is

$|r|=\sqrt{1^2+(-2)^2+3^2}\\\\\therefore |r|=\sqrt{14}$

You might be interested in

What is a constellation as astronomers define it today? What does it mean when an astronomer says, “I saw a comet in Orion last

MissTica

Explanation:

Constellation: The complete sky has been divided in 88 different areas, in a way we have divided Earth in countries, not necessarily having same shapes and size. These 88 areas are known as constellations. These contains a lot of stars. When we join the brightest stars together we can imagine a shape out of them which is called as Asterism. Most of the people are unaware of this difference. Some of the famous constellations are Orion, Taurus, Gemini, Hydra, Ursa Major etc.

When an astronomer says that there is a comet is in the Orion, he means that a comet is in the boundaries of Orion constellation.

4 0

2 years ago

A spool whose inner core has a radius of 1.00 cm and whose end caps have a radius of 1.50 cm has a string tightly wound around t

White raven [17]

Answer:

v₁ = 37.5 cm / s

Explanation:

For this exercise we can use that angular and linear velocity are related

v = w r

in the case of the spool the angular velocity for the whole system is constant,

They indicate the linear velocity v₀ = 25.0 cm / s for a radius of r₀ = 1.00 cm,