MNEMONICS are powerful tools to simplify complex concepts in Vectors and make learning easier.
This EduRev document provides creative and concise mnemonics that help students quickly grasp, recall, and apply the core ideas of vectors. From the basics of scalars and vectors to advanced topics like dot product, cross product, and triple products, these memory aids make revision faster and problem-solving more efficient.
Mnemonic: "Some Values Need Direction!"
Explanation:
Scalars: Represent "Some Values"
Vectors: Represent "Need Direction"
NOTE: If direction matters or negative answers can mean “opposite direction,” you’re likely dealing with a vector. Units don’t decide vector/scalar; directionality does.
Mnemonic: “Arrow Marks Way.”
Explanation:
Mnemonic: "Tail-Head Adds Right!"
Explanation:
This mnemonic simplifies the process of vector addition using the head-to-tail rule:
"Tail-Head"
"Adds Right"
Without knowing vector addition, one cannot solve the numericals that frequently appear in exams.
For Example -
Mnemonic: “Add the Negative”
Explanation:
Step 1: Reverse the second vector.
- If you want
, replace
with
has the same magnitude as
but points in the opposite direction.
Step 2: Add the two vectors.
Now do
using the head-to-tail rule.
Magnitude Formula:
Mnemonic: “Dot loves COS"
Explanation:
Dot → Dot Product
Loves COS → Projection Meaning
Scalar Result → No Direction
- The result of a dot product is a scalar (just a number).
- It has no direction, only magnitude (positive, negative, or zero).
Mnemonic: “Cross Loves sin”
Explanation:
Cross → Cross Product
Loves Sin → Sinθ (Perpendicular Meaning)
Vector Result → Direction
- The result of a cross product is a vector, not a number.
- Its direction is given by the Right-Hand Rule: curl your fingers from
thumb points along
Mnemonic: “BAC–CAB Rule.”
Explanation:
Formula:Why BAC–CAB?
Properties:
Result is always a vector lying in the plane of
The unit normal cancels out during expansion.
320 videos|1028 docs|210 tests
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1. What are the basic differences between scalars and vectors? | ![]() |
2. How can a vector be represented graphically? | ![]() |
3. What is the method to add two vectors? | ![]() |
4. How is vector subtraction performed? | ![]() |
5. What is the significance of the dot product in vector analysis? | ![]() |