If all the components of a vector are equal to 1, then that vector is a unit vector. Group of answer choices True False

Answers

Answer 1

Answer:

If all the components of a vector is equal to 1, then that vector is not a unit vector but $[√(3)]$ .

Answer: False

Explanation:

Unit Vector

A vector which defines the direction of a physical quantity is known as a Unit Vector. For a vector, the unit vector is the vector/ mod of the value. Since the mod of a unit vector is always 1, the value is simply represented as its vector form.

If we take all the components of a vector quantity as 1, then its mod will be,

$√(1+1+1)$ i.e. $√(3)$ which is not a unit vector.

Hence, the given statement is false.

Answer 2

Answer:

Final answer:

All components of a vector being equal to 1 does not necessarily define a unit vector. A unit vector is defined by having a magnitude, or length, of 1. Unless it's a 1-D vector with its single component as 1, a vector with all components as 1 won't be a unit vector.

Explanation:

In mathematics, particularly vector algebra, a unit vector is a vector of length 1. The condition you've mentioned – all components of a vector being equal to 1 – does not generally define a unit vector. When the components of a vector are all 1s (in a 2D or 3D space, for instance), the resultant vector is not a unit vector. This is because the magnitude or length of a vector is calculated by the square root of the sum of the squares of its components.

Learn more about Unit Vector here:

brainly.com/question/34814688

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The circus dog in the picture below is balancing a ball on his nose. The ball has __________ energy right now, but when he drops the ball it will have __________ energy.

Answers

Right now the ball only has potential energy but when the ball falls that will be converted into kinetic energy because it is moving. BTW Im 14 in 9th grade ya'll should know this.

Answer:

potential; kinetic

Explanation:

Kinetic energy is dependent on which of the following?A. mass only
B. velocity only
C. temperature only
D. mass and velocity

Answers

Kinetic energy can be found on the equation of (mv^2) /2 = KE therefore the answer is D.

Fun fact: Temperature is the dependent of another form of energy called internal energy.

Poise under pressure, dealing with adversity, and self-esteem are all parts of which type of health? A. emotional health B. mental heal C. physical health D. social health

Answers

Answer:

The correct answer is option B, Mental Health

Explanation:

Mental health is referred to as mental illness when a person is bounded by prolonged negative thoughts. The ongoing signs and symptoms of a poor mental health can cause frequent stress and reduced ability to function. Some common symptoms of mental illness include

• Excessive anger, hostility or violence

• Extreme mood changes

• Confused thinking or reduced ability to concentrate

• Excessive fears or worries

The answer is B.) Mental health

Suppose you hit a 0.058-kg tennis ball so that the ball then moves with an acceleration of 10 m/s2. if you were to hit a basketball of mass 0.58 kg with the same force, what would the acceleration a of the basketball be? *graph is 4/x if that helps.

Answers

In this problem, the working equation to be used is the Newton's 2nd law of motion: Force = mass x acceleration.

First situation: mass = 0.058 kg; acceleration = 10 m/s2

Hence, force is 0.058 kg x 10 m/s2, which is 0.58 N. Since same force is to be used, this same value is used for the second situation.

Second situation: mass = 0.58 kg; Force = 0.58 N

Since F = ma, by transposing, the acceleration could be solved by the equation, a = F/m. Thus, 0.58N/0.58 kg, the acceleration is 1 m/s2.

Ted William drops a ball from 14.5 meter to a desk that is 1.9 meters tall. What is the final speed of the ball right before it hits the desk.

Answers

Answer:

15.7m/s

Explanation:

To solve this problem, we use the right motion equation.

Here, we have been given the height through which the ball drops;

Height of drop = 14.5m - 1.9m = 12.6m

The right motion equation is;

V² = U² + 2gh

V is the final velocity

U is the initial velocity = 0

g is the acceleration due to gravity = 9.8m/s²

h is the height

Now insert the parameters and solve;

V² = 0² + 2 x 9.8 x 12.6

V² = 246.96

V = √246.96 = 15.7m/s

Suppose that now you want to make a scale model of the solar system using the same ball bearing to represent the sun. How far from it would you place a sphere representing the earth? (Center to center distance please.) The distance from the center of the sun to the center of the earth is 1.496×10111.496×1011 m and the radius of the sun is 6.96×1086.96×108 m.

Answers

In this exercise we have to use the knowledge in distance, in this way we will find that the proportional distance found is:

$d = 0.645 m$

So from the information given in the text we find that:

The distance from the center of the sun to the center of the earth is $1.496*10^(11) \ m$

The radius of the sun is $6.96*10^(8)m$

We need to assume a radius for the ball bearing, so suppose that the radius is $3 mm$

First, we need to find in what way or manner often the radius of the brightest star exist considerable respect to the range of the ball significance, that exist given apiece following equating:

$(r_a)/(r_b)= \frac{6.96*10^8}{3*10{-3}} =2.32*10^(11)$

Now, we can calculate the distance from the center of the sun to the center of the sphere representing the earth:

$d_(s) = (d_(e))/(r_(s)/r_(b)) = (1.496 \cdot 10^(11) m)/(2.32\cdot 10^(11)) = 0.645 m$

See more about distance at brainly.com/question/989117

Answer:

d = 0.645 m(assuming a radius of the ball bearing of 3 mm)

Explanation:

The given information is:

The distance from the center of the sun to the center of the earth is 1.496x10¹¹m = $d_(e)$
The radius of the sun is 6.96x10⁸m = $r_(s)$

We need to assume a radius for the ball bearing, so suppose that the radius is 3 mm = $r_(b)$ .

First, we need to find how many times the radius of the sun is bigger respect to the radius of the ball bearing, which is given by the following equation:

$(r_(s))/(r_(b)) = (6.96\cdot 10^(8)m)/(3\cdot 10^(-3)m) = 2.32\cdot 10^(11)$

Now, we can calculate the distance from the center of the sun to the center of the sphere representing the earth, $d_(s)$ :

[tex] d_{s} = \frac{d_{e}}{r_{s}/r_{b}} = \frac{1.496 \cdot 10^{11} m}{2.32\cdot 10^{11}} = 0.645 m

I hope it helps you!

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