Vector Calculus - U24MA152

Vector Calculus - U24MA152

University

15 Qs

quiz-placeholder

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Vector Calculus - U24MA152

Vector Calculus - U24MA152

Assessment

Quiz

Mathematics

University

Practice Problem

Hard

Created by

DILIP JOSE MATHS

Used 3+ times

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15 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______

Sum of magnitudes of the vectors

Difference of magnitudes of the vectors

Product of magnitudes of the vectors

Sum of the roots of magnitudes of the vectors

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Calculating the relative velocity is an example of ______

Vector addition

Vector subtraction

Vector multiplication

Vector division

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The Gradient of a constant is a null vector.

True

False

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The temperature at a point (x,y,z) in space is given by T(x,y,z) = x^2 + y^2 - z. A mosquito located at (1,1,2) desires to fly in such a direction that it gets cooled faster. Which of the following direction it should fly?

2i→ + 2j→ - k→

2i→ - 2j→ - k→

2i→ + 2j→ + k→

2i→ - 2j→ + k→

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If A and B are irrotational vectors, than Axb is -----

irrotational

gradiant

Solenoidal

None of these

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Gradient of a scalar function is a_________ and the divergence of a constant is______

vector and zero

scalar and zero

scalar and vector

None of these

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Divergence of a vector is a ---------- and curl of a vector is a ---------

Scalar, vector

Vector, Scalar

Vector, Vector

Scalar, Scalar

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