Post on 17-Nov-2021
Ch-03Vectors
Lect-01
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Today’s Goal
Introduction to Vectors
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Why do we need Vectors?
Physical Quantity (PQ) = 𝒏 𝝁
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Numerical value(magnitude)
Unit
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Difference between Scalar Quantities & Vector Quantities
Scalar Quantities Vector Quantities
1)) Numerical Value Only a) Numerical Valueb) Directionc) Obeys Vector Law of addition
2) Added according to ordinary rules of algebra.
2) Added according to Vector Law of Addition
Examples: Mass, distance, speed, Temperature , Energy
Example: Displacement, velocity, Force, Acceleration
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Note: All vector Quantities have direction But
All Quantities that have direction are not Vectors.
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Representation of Vectors
Tail Head
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Q1) Draw the following Vectors :(i) 5N 37o East of South (ii) 2m/s 30o West of North
Important Points related to Vectori. On Rotating 2π Vector does not change.
ii. A vector can shift parallel to itself.
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The Angle between two vectors is the smaller of the two angles between the vectors when they are joined tail to tail
𝟎𝒐 ≤ 𝜽 ≤ 𝟏𝟖𝟎𝒐
• The Angle between two vectors is the smaller of the two angles between the vectors when they are joined tail to tail
𝟎𝒐 ≤ 𝜽 ≤ 𝟏𝟖𝟎𝒐
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iii.
Q) Find the angle between 𝑨 & 𝑩
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Q1) Find angle between (1) 𝑨 & 𝑩 (2) 𝑨 & 𝑪 (3) 𝑩& 𝑪
Types of Vectors
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Equal Vectors
Negative of a Vector
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Parallel & Antiparallel Vectors
• Parallel Vectors
• Antiparallel Vectors
𝜽=0o
𝜽=180o
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Collinear & Coplanar Vectors• Collinear Vectors
• Coplanar Vectors
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Concurrent Vectors
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Unit & Zero/Null Vector
• Unit Vector
• Zero/Null Vector
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Thank You
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