Exercise 12.2
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Transcript of Exercise 12.2
Math 301[Calculus-III]
Text Book: Thomas Calculus Early TranscendentalEdition: 12Publisher: Pearson
VECTORS Exercise 12.2
Page 690
Module - I
In this lesson you will learn:
Three-Dimensional Coordinate System What is a Vector Component of a Vector Magnitude of a vector Addition of Vectors Scalar Multiplication Negative of a Vector Unit Vector Standard unit vectors
What is a Vector?
• A quantity that has both– Size– Direction
• Examples– Wind– Boat or aircraft travel– Forces
• Geometrically– A directed line segment
6
Initial point
Terminal point
Vector:
Component of a Vector
If , are the points then position vector equal to is
Magnitude of a VectorIf is a three dimensional vector then
Addition of Vectors
Scalar multiplication
Negative of a vector
Zero Vector
A Vector is called zero vector.
Unit Vector: A vector whose magnitude is 1.
.
.If is a vector then
unit vector is defined as
STANDARD UNIT VECTORS
0,0,1k and
0,1,0j
1,0,0i
.
Question No. 5If and Find the
(a) Component form and
(b) Magnitude(length) of the vector
2𝑢−3 𝑣
Exercise 12.2 Page No. 690
.
A force of 6 newtons is applied in the directionof the vector . Express the force as a product of its magnitude and direction.
Example 6 Page No. 688