Question

explanation of chapter vector​

Answer 1

Vector quantity :-

Those quantity which requires only magnitude as well as direction for it's expression is called vector quantity.

Vector:-

Vector are represented in a plane by an arrow on the head, the length of the arrow represents magnitude and head of the arrow represent direction.

There are three types of vectors:-

1.Equal vector

2.Opposite vector

3.Unequal vector

Unit vector:-

The vector having magnitude one is called unit vector represented by small letter with cap on his head.(^a)

There are three laws for adding vector:-

1.Triangle law of vector addition

2.Parallelogram law of vector addition

3.Polygonial law of vector addition

Orthagonal vector:-

Unit vector along the co-ordinate axis.

Displacement vector:-

The vectors which shows displacement between two points is called displacement vector.

Resolution of vector:-

Horizontal component=vcosα

Vertical component=usinα

R=√H^2+v^2

and, α=tan^-1v/H

Multiplication vector:-

When a vector is multiplied by scalar then, the resultant is always vector.

Case1:-

If two vectors are perpendicular to each other then,

R=√P^2+Q^2

Case2:-

If two vectors are parallel to each other then,

R=√P^2+Q^2

Case3:-

If two vector are in same direction then,

R=P+Q

Case4:-

If both the vectors are in opposite directions then,

R=P-Q

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