Vector Algebra PPT Maths Class 12

 Page 1


Introduction to Vectors 
What is a vector?
Algebra of vectors
The scalar product
Page 2


Introduction to Vectors 
What is a vector?
Algebra of vectors
The scalar product
What is a Scalar?
• Scalars are quantities 
that are simply 
defined by a 
magnitude.
• For example the mass 
of an object just has a 
magnitude, so it is a 
scalar quantity.
Another example 
of a scalar is 
speed!
Page 3


Introduction to Vectors 
What is a vector?
Algebra of vectors
The scalar product
What is a Scalar?
• Scalars are quantities 
that are simply 
defined by a 
magnitude.
• For example the mass 
of an object just has a 
magnitude, so it is a 
scalar quantity.
Another example 
of a scalar is 
speed!
Without Scalars We Wouldn’t Be Able To 
Model
Temperature.
Mass of an object.
Page 4


Introduction to Vectors 
What is a vector?
Algebra of vectors
The scalar product
What is a Scalar?
• Scalars are quantities 
that are simply 
defined by a 
magnitude.
• For example the mass 
of an object just has a 
magnitude, so it is a 
scalar quantity.
Another example 
of a scalar is 
speed!
Without Scalars We Wouldn’t Be Able To 
Model
Temperature.
Mass of an object.
What is a Vector?
• A vector quantity has 
both a direction and a 
magnitude (size).
• For example velocity 
is a speed in some 
given direction, for 
example wind.
The wind is blowing 
8 mph in a westerly 
direction.
Page 5


Introduction to Vectors 
What is a vector?
Algebra of vectors
The scalar product
What is a Scalar?
• Scalars are quantities 
that are simply 
defined by a 
magnitude.
• For example the mass 
of an object just has a 
magnitude, so it is a 
scalar quantity.
Another example 
of a scalar is 
speed!
Without Scalars We Wouldn’t Be Able To 
Model
Temperature.
Mass of an object.
What is a Vector?
• A vector quantity has 
both a direction and a 
magnitude (size).
• For example velocity 
is a speed in some 
given direction, for 
example wind.
The wind is blowing 
8 mph in a westerly 
direction.
Without Vectors We Wouldn’t Be Able To 
Model
Torque and 
circular motion.
The forces acting 
on an aircraft.