Page 35 - Electrostatics-11
P. 35
© GC Shiba
Rectangular resolution: In this type of resolution, a vector quantity is resolved
into two mutually perpendicular components.
How to resolve?
⃗
Let be a vector which makes an angle with the
axis. Draw PN⊥OX and PM⊥OY.
⃗
Here, ON = ( x- component of )
⃗
OM = ( y- component of )
From right angled triangle PON
= =
, =
= =
, =
2
2
2
Also, = +
Multiplication of vectors:
❖ By scalar: When a vector quantity is multiplied by a scalar, the result will be
always vector. Its magnitude will be changed by the times of scalar. For e.g.,
⃗⃗
⃗
⃗⃗
Momentum ( ) = m and force ( ) = m
⃗
It is exactly same as the multiplication by real number.
❖ By vector: When two vectors are multiplied, the result will be scalar or vector
depending upon the nature of operation. It is classified into 2 types:
12 Mechanics
