Vector Calculus

ENSH 151 · Chapter 3

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Chapters
6
Questions
17

Past questions by syllabus

3.

Vector Calculus

3.2

Vector Differentiation and Integration, Their Geometrical Meaning, Velocity and Acceleration

4 questions
  1. 2082 Bhadra2081 AshwinChapter 3: Vector Calculus3.2 Vector Differentiation and Integration, Their Geometrical Meaning, Velocity and Acceleration

    Prove that the necessary and sufficient condition for the vector function a⃗ of scalar variable t to have a constant direction is a⃗ × da⃗dt = 0.

    ASK ON:ChatGPTClaudeAnswers · -4 marks Asked 2×
  2. 2082 BhadraChapter 3: Vector Calculus3.2 Vector Differentiation and Integration, Their Geometrical Meaning, Velocity and Acceleration

    A particle moves along the curve x = 3 cos t, y = 3 sin t, z = 6t, then find the velocity and acceleration at time t = π3.

    ASK ON:ChatGPTClaudeAnswers · -2 marks Asked 1×
  3. 2081 AshwinChapter 3: Vector Calculus3.2 Vector Differentiation and Integration, Their Geometrical Meaning, Velocity and Acceleration

    A particle moves along the curve x = √2 cos t, y = √2 sin t, z = 4t, then find the velocity and acceleration at time t = π4.

    ASK ON:ChatGPTClaudeAnswers · -2 marks Asked 1×
3.3

Vector Differential Operators: Gradient, Directional Derivatives, Divergence and Curl

5 questions
3.4

Line Integrals, Independent of Path, Conservative and Irrotational Vector Fields, Scalar Potential

1 question
3.5

Introduction to Green's Theorem and Its Application

2 questions
3.7

Volume Integrals, Gauss Divergence Theorem (Without Proof) and Its Application in Evaluation of Surface Integrals

3 questions
3.8

Introduction to Stoke's Theorem and Its Application

2 questions
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