Online CBSE Class 11 Physics Notes for Introduction to Vector

Class 11 Physics Notes for Introduction to Vector

Notes for vectors physics class 11

The pairs of magnitude and direction are usually called as Vectors. More especially when they follow the vector law of addition. They are represented by an arrow.

Here A and B are vectors and their resultant are given by A+B by vector

Law of addition.

The direction of the arrow is the direction of the vector, and the length is the magnitude. If the quantity has the only magnitude but has no direction then it is termed as a scalar.

Watch and learn vectors and laws of vectors with Class 11th Physics animated videos.

LAWS RELATED TO VECTORS

Addition of vectors

The operation of addition of two vectors can be done by using the law called parallelogram law of vector addition. The addition can be done by taking two vectors as the adjacent sides of a parallelogram by joining their tales and sum can be taken by adding their corresponding components. If A=(x₁₊x₂₊x₃) and B=(y₁+y₂+y₃).

Then A+B = (x₁+y₁,x₂+y₂,x₃+y₃).

Watch and understand the concept ‘addition of vectors’, for demos visit Class 11 Physics at Takshila Learning.

Multiplication of vectors

For multiplication of two vectors, there are several techniques. Includes

• Cross product: It is the operation which results in a vector that’s why it is also called as the vector product of two vectors. It is taken by the product of their magnitude and sine of the angle between them. Carried out by the formula

A × B = ||A|| ||B|| sin θ n.

Where ‘n’ is the unit vector determined by the plane of two vectors.

• Dot product: it is the operation results in scalar of two vectors that’s why it is also called as the scalar product of two vectors. It is taken by-product of their magnitude and cosine of the angle between them.

A ⋅ B = ||A|| ||B|| cos θ.

• Triple cross-product and multiple products: when three vectors are multiplied then the product are called the triple product and if more than three then product is multiple products.

NCERT Solutions for Vectors physics class 11 are available, for details visit 11 Class Physics.

COMPONENTS OF A VECTOR

The arrow side means the head is the terminal point and tail is the initial point of a vector. The component can be obtained by subtracting the coordinates of a terminal point from the coordinate of the initial point

UNIT VECTOR:

The vector with magnitude equals to one called as unit vector above vector v can be a unit vector by multiplying its magnitude by1/||v||.

A vector such as <3,4> can also be written as 3<1,0>, 4<0,1>. And that’s why this vector can also be called a special unit vector

Sometimes unit vector can also be called as the direction vector.

For a detailed explanation of components of Vector click CBSE 11 Class Physics.

For more inquires about Physics notes for class 11, regular article of 11th Physics on various topics, 11 Science, NCERT solutions class 11th, CBSE guide, sample papers, latest updates from CBSE Board, Enroll with Takshila Learning

Takshila Learning offers an animated video course with a complete study plan, question bank, sample papers and conducts a various test for performance analysis for Class 1st to 12th. Classes are available in offline and online mode, even live classes are also available. As per the students’ requirement, customized packages are available. For more details www.takshilalearning.com

Follow us on a Social media

Follow us on Blogarama