(Answered) 1 show that if u amp v are orthogonal then the transformed

Academics

1. Show that if u & v are orthogonal, then the transformed vectors U = Au & V = Av under the linear (orthogonal) transformation (characterised by the orthogonal matrix A) are themselves orthogonal. I think this can be done using pythagoras theorem but am not sure how to begin, please help!

2. Show that the orthogonal transformation preserves the dot product i.e Au dot Av = u dot v. Hence or otherwise show that the angles between 2 vectors are preserved under the orthogonal transformation.

View complete question

Physics, Academics

Category:- Physics
Reference No.:- M91640358
Price:- $10

Verified Expert

Priced at $20 Now at $10, Verified Solution

Have any Question?Write your Review or question?

Related Questions in Physics

Question the problem two stationary point charges 300nc and

Question: The problem: Two stationary point charges +3.00nC and +2.00nCare separated by a distance of 50.0cm. An electron is released fromrest at a point midway between the two charges and moves along theline connecting ...

Question pluto moves in a fairly elliptical orbit around

Question: Pluto moves in a fairly elliptical orbit around the sun. Pluto's speed at its closest approach of 4.43 *10^9 km is 6.12 km/s. What is Pluto's speed at the most distant point in its orbit, where it is 7.30 *10^9 ...

A soccer player kicks the ball that travels a distance of

A soccer player kicks the ball that travels a distance of 45.0 m on a level field. The ball leaves his foot at an initial speed of (v0) and an angle of 25.0° above the ground. Find the initial speed (v0) of the ball.

Question orangutans can move by brachiation swinging like a

Question: Orangutans can move by brachiation, swinging like a pendulum beneath successive handholds. If an orangutan has arms that are 0.90 m long and repeatedly swings to a 20° angle, taking one swing immediately after ...

Question a solenoidal coil with 25 turns of wire is wound

Question: A solenoidal coil with 25 turns of wire is wound tightly around another coil with 320 turns. The inner solenoid is 23.0cm long and has a diameter of 2.00cm . At a certain time, the current in the inner solenoid ...

Describe the effect on speed frequency and wavelength of a

Describe the effect on speed, frequency, and wavelength of a sound traveling from warm to cold air. (hint:cold air is more dense than warm air).

A ball with a mass of 15 kg is observed to move with an

A ball with a mass of 1.5 kg is observed to move with an acceleration of 6 m/s2. What is the size of the net force acting on the ball? A 2.5-kg block being pulled across a table by a horizontal force of 80 N also experie ...

Question sams job at the amusement park is to slow down and

Question: Sam's job at the amusement park is to slow down and bring to a stop the boats in the log ride. If a boat and its riders have a mass of 800kg and the boat drifts in at 1.4m/s how much work does Sam do to stop it ...

Question a thin horizontal 20-cm-diameter copper plate is

Question: A thin, horizontal, 20-cm-diameter copper plate is charged to 4.0 nC . Assume that the electrons are uniformly distributed on the surface a) What is the strength of the electric field 0.1 mm above the center of ...

The ball was thrown from 190 m height building the initial

The ball was thrown from 19.0 m height building. The Initial velocity is 39.2 M/S and it creates 30 degree angel with the horizontal surface.. Find the Max height the ball can reach, range and velocity before it hits the ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Physics Expert