In fig 23.5 ABCD is a regular hexagon, which vectors are:
i. Collinear
ii. Equal
iii. Cointitial
iv. Collinear but not equal.
i. Collinear
Two or more vectors that lie on the same line or on a parallel line to this are called collinear vectors. Two collinear vectors may point in either same or opposite direction. But, they cannot be inclined at some angle from each other.
Hence FE (
), AD (
) and BC (
) are collinear vectors.
And also AF (
) and CD (
) are collinear vectors.
And AB (
) and ED (
) are collinear vectors.
ii. Equal
Equal vectors are vectors that have the same magnitude and the same direction. Equal vectors may start at different positions.
Hence AF (
) and CD (
) are equal vectors.
And also FE (
) and BC (
) are equal vectors.
And AB (
) and ED (
) are equal vectors.
iii. Co - initial
Any given two vectors are called co - initial vectors if both the given vectors have the same initial point.
Hence, AB (
), AF (
) and AD (
) are co - initial vectors.
iv. Collinear but not equal.
And AD (
) and BC (
) are collinear but not equal vectors.
And AD (
) and FE (
) are collinear but not equal vectors