Sunday, May 8, 2016

XI - 2.1 Scalars and Vectors - Mathematics for Physics - Video Lectures


Scalars And Vectors Part 1 Physics Board video lecture By Rao IIT Academy
Rao IIT Academy
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XI - 2.8 Cross product or vector product of two vectors - Video Lectures



Physics - Mechanics: Vectors (18 of 20) Product Of Vectors: Cross Product: Example 2
Michel van Biezen
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XI - 2.5 Subtraction of vectors - Video Lectures



Physics Lecture - 9 - Vector Subtraction
thenewboston
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XI - 2.4 Multiplication of a vector by a number - Video Lectures



Dot Product, Cross Product, and Multiplying Vectors by Scalars
AK LECTURES
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XI - 2.3 Addition of vectors - Video Lectures


Addition of vectors

Magnitude of av+bv = SQRT(a²+b²+ 2ab cos θ)

The angle of the resultant with av is α where
tanα = b sin θ/(a+b cos θ)

Interesting point to make note of:
Two vectors having equal magnitudes of a make an angle θ with each other. Find the magnitude and direction of the resultant(Resultant is output of the addition of two vectors.)

Magnitude = 2a cos θ/2
and
tan α = a sin θ/(a + a cos θ) = (2asin(θ/2)cos(θ/2))/(2acos²(θ/2))
= tan (θ/2)

Example: Two vectors are of equal magnitude of 10 units. One of them is inclined at 45° to the X-axis and the other is inclined at 75° to the X-axis. Find the magnitude and direction of the resultant with respect to X-axis.

The angle between vectors is 30°.
Hence magnitude of the resultant will be 20 cos 15°
The direction - The resultant is inclined at 60° to the X axis.

Physics Vector Addition (Algebraic)
PhysicsEH
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XI - 2.2 Equality of vectors - Video Lectures




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XII - 18.3 Relation between u,v and R for spherical mirrors - Video Lectures

10 May



Ray Diagrams - Mirrors
Bozeman Science
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Relation Between Focal Length and Radius of Curvature Spherical mirror
CBSE Video Tutorials Science and Math

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