Question

Hello all ¡! ☺
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Please help me in the above attachment..
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Answer 1

the physical quantity which have magnitude as well as direction is called vector quantity
A displacement is a vector whose length is the shortest distance from the initial to the final position of a point P. It quantifies both the distance and direction of an imaginary motion along a straight line from the initial position to the final position of the point.
when two or more vectors are added the answer is called resultant the resultant of two vectors Is equal to first vector followed by second vector to find resultant of vectors a nad b the tail of vector b must join head of vector a the resultant a+b is direct vector from tail of vector a to head of vector b this is known as triangle law of addition

Answer 2

$\bf\blue{Hello!}$

$\bf{1.\:Vector\:Quantity}$ :-

They are those physical quantities which $\underline{\sf have\: both \:magnitudes \:and \:directions}$. It is specified by giving its magnitude by a number and its direction.

They are represented by an arrow placed over a letter ( $\vec{\sf A}$)

$\sf{for \:Example}$ :-

• Acceleration
• Velocity
• Momentum
• Displacement etc.

$\bf{2.\:Displacement \:Vector}$ :-

The vector which tells how much and in which direction an object has changed its position in a given interval of time is called a $\underline{\sf displacement \:vector}$.

Displacement vector is straight line joining the initial and final positions and does not depend on the actual path undertaken by the object between the two positions.

$\bf{3.\:Triangle\:Law\:of\:Addition}$ :-

This law states that if two vectors can be represented both in magnitude and direction by two sides of a triangle taken in the same order, then their $\underline{\sf resultant}$ is represented completely, both in magnitude and direction, by the $\underline{\sf third \:side}$ of the triangle taken in opposite order.

$\boxed{\sf Resultant\:Vector,\: \vec{R} = \vec{A} + \vec{B}}$

$\bf\blue{Cheers!}$