Question

Is it possible for a vector to have zero magnitude but nonzero components? Explain

Answer 1

The mathematical meaning of a vector or vector quantity is one which has magnitude and direction. For example force or velocity can be represented by vectors.
Two vector quantities of the same kind obey the parallelogram law of addition

Answer 2

how to find the vectors of addition and multiplication?

Answer 3

A very good explanation of vectors can be found at the following link. Addition and subtraction are covered.
http://en.wikipedia.org/wiki/Euclidean_vector

Answer 4

how to apply the vectors operation?

Answer 5

Do you have a specific question involving vectors? If you have please post it.

Answer 6

give me an example of multiplication of a vector by a scalar.

Answer 7

let A be a vector
A = 2i +3j here i and j are unit vectors along x-axis and y -axis
if we multiply a scalar K with vector A we get
KA = 2Ki +3Kj

Answer 8

The product of a scalar k and a vector a, written ka, is a new vector, each of whose components is the product of k and the corresponding component of a.
The magnitude of the new vector is k times the magnitude of a. The new vector has the same direction as a if k is positive and the opposite direction if k is negative.

Answer 9

this is scalar multiplication

Answer 10

Is it possible for a vector to have zero magnitude but nonzero components? Explain