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2006-07-15 06:26:17 · 6 answers · asked by ishan v 2 in Science & Mathematics Physics

6 answers

they're used to represent magnitude and direction of quantities. Some quantities that can be represented as vectors are: forces, displacement, velocity, acceleration, torque, momentum, etc.

2006-07-15 06:29:11 · answer #1 · answered by the redcuber 6 · 0 0

1. Scalar quantities are quantities with magnitudes only. Examples are distance, speed,mass and temperature.
2. Vector quantities are quantities with magnitude and direction both. Examples aredisplacement, velocity and acceleration. They obey special rules of vector algebra.
3. A vector A multiplied by a real number λ is also a vector, whose magnitude is λ timesthe magnitude of the vector A and whose direction is the same or opposite dependingupon whether λ is positive or negative.
4. Two vectors A and B may be added graphically using head-to-tail method or parallelogrammethod.
5. Vector addition is commutative :A + B = B + A
It also obeys the associative law :(A + B) + C = A + (B + C)
6. A null or zero vector is a vector with zero magnitude. Since the magnitude is zero, wedon’t have to specify its direction. It has the properties
A + 0 = A
λ0 = 0
0 A = 0
7. The subtraction of vector B from A is defined as the sum of A and –B :
A – B = A+ (–B)
8. A vector A can be resolved into component along two given vectors a and b lying in thesame plane :
A = λ a + μ b
where λ and μ are real numbers.
9. A unit vector associated with a vector A has magnitude one and is along the vector A:
n =A / lAl
The unit vectors i, j, k are vectors of unit magnitude and point in the direction ofthe x-, y-, and z-axes, respectively in a right-handed coordinate system.

2006-07-15 07:08:24 · answer #2 · answered by vasav d 1 · 0 0

Graphically, a vector is represented by an arrow, defining the direction, and the length of the arrow defines the vector's magnitude. The operation of addition, subtraction and multiplication of ordinary algebra can be extended to vectors with some new definitions and a few new rules. There are two fundamental definitions:

1. Two vectors, A and B are equal if they have the same magnitude and direction, regardless of whether they have the same initial points

2. A vector having the same magnitude but in the opposite direction is denoted with a negative sign.


I hate physics. So boring.

2006-07-15 06:30:39 · answer #3 · answered by Anonymous · 0 0

Vectors are, as anything else, measured relatively.
A vector describles the magnetude of a force moving in a specific angular direction . However; it breaks down into components which follow the phythagorean theorem so we can consider a vector as the sum of its component forming a metric.

In practice we have a description of vectors only in three dimension and this is where all the vector analysis is centered upon in physics.

However in different mathematical analysis a vector is not limited just to 3 dimensions.
Such type is really a muldidimentional vector above the standard vector of vector analysis. It is called a tensor.
Einstein used Tensor analsyis to explain space in terms of distance and time, rathers then 3 dimensionsal velocity vector, in his description of space(aether as it was called at that time).


To explains the mechanics of Tensors in physics is very involved. your can refer to Dr.math.com ,for the mathematics, on the internet.

2006-07-15 06:55:51 · answer #4 · answered by goring 6 · 0 0

check out the following URL:

http://id.mind.net/~zona/mstm/physics/mechanics/vectors/introduction/introductionVectors.html

2006-07-15 06:31:49 · answer #5 · answered by EST-A 2 · 0 0

somthin 4 which both magnitude&direction to fully describe it...

2006-07-15 07:40:54 · answer #6 · answered by dinc 2 · 0 0

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