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The position vector is four dimensional, a quaternion:
p= w +ix + jy + kz = w = v where w=ct is a real number and v is a three dimensional vector v=ix +jy +kz.
The product of positions is a transformation:
p1p2 = (w1 +v1)(w2 +v2)= (w1w2 -v1.v2) + (w1v2 + w2v1 + v1xv2)
The '.' and 'x' are the cosine ans sine of the angles between v1 and v2 thus:
p1p2= (w1 +v1)(w2 +v2)= (w1w2 -v1v2cos(v1v2)) + (w1v2 + w2v1 + v1v2sin(v1v2))
If v1 is perpendicular to v2 then cos(v1v2) is zero and sin(v1v2) is +- 1. if v1 is parallel to v2 then sin(v1v2) is zero and cos(v1v2) is +-1.
Einstein's Relativity "interval" is a contraction of p1p2= ct1ct2 - x1x2 -y1y2 -z1z2.
p1p2 is also |p1p2|( Cos(p1 +p2) + sin(p1 +p2)). This implies that Einstein's "interval" is cos(p1 +p2) and the interval is zero when cos(p1 +p2) is zero or the sum of the angles p1 +p2 is a multiple of 90 degrees.
What else can I help you with?
The science definition of displace ment?
Displacement:a. A vector or the magnitude of a vector from the initial position to a subsequent position assumed by a body.b. The weight or volume of a fluid displaced by a floating body, used especially as a measurement of the weight or bulk of ships.
What is the sum of two vectors A.addition vector B.distance vector C.resultant vector D.displacement vector?
The sum of two vectors is called the resultant vector. It is the vector obtained when adding two or more vectors together. The displacement vector is a specific type of vector that represents the change in position of an object.
You do not know an objects velocity until you know what?
To know an object's velocity, you need to know its speed and direction. You can measure speed by calculating how long an object takes to arrive at a new position. So by knowing an object's starting position, ending position, and the time it took to get there, you can calculate its average velocity. In a more advanced calculation, you could choose starting and ending positions that are extremely close to one another and calculate "instantaneous velocity." Velocity is known as a "vector value". A vector not only has a length, but a direction. In this case, "length" is the same as "speed", and direction is its change in position.
What are the 50 words of vector and their magnitude and direction?
What are the 50 word of vector and their magnitude and direction
WHY DO POSITION IS A VECTOR QUANTITY?
To describe position, you need more than one number - for instance, an x-coordinate, a y-coordinate, and (if it is in three dimensions) a z-coordinate. That's the very essence of a vector - the fact that it is made up of several components.
Vector that shows the combined effect of two or more vector?
Resultant vector or effective vector
Does the the army have a radiologist position?
there are radiologist in the army. I am not very sure how they start before they reach that position but a recruiter will have more details.
What is the matrix position?
To answer this question we need more details. We need the actual matrix and exactly what you are looking for.
Why is Vector resolution the opposite of vector addition?
Vector resolution involves breaking down a single vector into its horizontal and vertical components, while vector addition combines two or more vectors together to form a resultant vector. They are considered opposite processes because resolution breaks a single vector into simpler components, while addition combines multiple vectors into a single resultant vector.
Which operation gives a resultant vector?
adding two or more vectors
What The sum of two or more vector is called?
Its called your "Resultant Vector"
Why did he saved your photos?
i dont know but you can give me more details
