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Class 11
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Physics
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Motion in a Plane
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Mathematical Operations on Vectors
Mathematical Operations on Vectors
Revise with Concepts
Addition and Subtraction of Vectors
Example
Definitions
Formulaes
Law of Sines and Law of Cosines and Use in Vector Addition
Example
Definitions
Formulaes
Resolution of Vectors
Example
Definitions
Formulaes
Unit Vector
Example
Definitions
Formulaes
Multiplication of a Vector by a Scalar
Example
Definitions
Formulaes
Vector Addition by Component Method
Example
Definitions
Formulaes
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Learn with Videos
Addition of vectors
5 mins
Triangular Law of Vector Addition - Graphical Method
7 mins
Resultant of Two Vectors - 1
7 mins
Resultant of Two Vectors - 2
7 mins
Parallelogram Law of Vector Addition
16 mins
Polygon Law of Vector Addition
3 mins
Properties of Addition of Vectors
6 mins
Laws of Vector Addition-I
19 mins
Laws of Vector Addition - II
20 mins
Representation of Vector in Rectangular Coordinate System
18 mins
Finding unit vector perpendicular to two given vectors
8 mins
Product of Vector with Scalar
4 mins
Multiplication of vectors by a scalar
7 mins
Vector Addition in Rectangular Coordinate System
4 mins
Component of Vectors
28 mins
Resultant of 3 or More Vectors
9 mins
Quick Summary With Stories
Vector Addition in Rectangular Coordinate System
4 mins read
Properties related to Vector addition
3 mins read
Triangle Law of Vector Addition
3 mins read
Parallelogram Law Of Vector Addition
4 mins read
Polygon Law of Vector addition
2 mins read
Representation of Vectors in Rectangular Coordinate System
4 mins read
Resolution of Vectors
3 mins read
Unit vector
2 mins read
Product of Scalar with Vector
2 mins read
Multiplication Of A Vector By A Scalar
3 mins read
Important Questions
State and prove parallelogram law of vector addition.
Medium
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>
Derive an expression for the magnitude and direction of the resultant vector using parallelogram law
Medium
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>
If
$A.B=A×B$
, then angle between
$A$
and
$B$
is
Easy
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>
State the law of parallelogram of vector addition and find the magnitude and direction of the resultant of vectors P and Q inclined at angle
$θ$
with each other. What happens when
$θ=0_{0}$
and
$θ=90_{0}$
.
Medium
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>
The resultant of two vectors
$A$
and
$B$
is perpendicular to the vector
$A$
and its magnitude is equal to half the magnitude of vector
$B$
. The angle between
$A$
and
$B$
is
Medium
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>
If a unit vector is represented by
$0.5i+0.8j +ck$
then the value of 'c' is
Medium
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>
Find a unit vector perpendicular to both the vectors
$a$
and
$b$
, where
$a=i^−7j^ +7k^$
and
$b=3i^−2j^ +2k^$
.
Medium
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>
Three forces acting on a body are shown in fig. To have the resultant force only along the y-direction,the magnitude of the minimum additional force needed along OX is
Medium
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>
Give the derivation for resultant of two vectors and for the angle between resultant and a vector.
Hard
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>
If the angle between the vectors
$A$
and
$B$
is
$θ$
, then the value of the product
$(B×A)$
.
$A$
equals
Medium
View solution
>