GATE ECE topic:vector-calculus PYQs & Answers — Page 2

Questions 11–14 of 14. Imported answers require independent review unless marked reviewed.

Topic practice 14 questionsPage 2 of 2

Consider the line integral

, the integral being taken in a counterclockwise direction over the closed curve

that forms the boundary of the region

shown in the figure below. The region

is the area enclosed by the union of a

rectangle and a semi-circle of radius 1. The line integral evaluates to

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The smaller angle (in degrees) between the planes

and

is _____.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

where

are real, and let

be the straight line segment from point

to point

. The value of

is ________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

If the vector function

is irrotational, then the values of the constants

and

, respectively, are

Your answerChoose one option.

0.3, −2.5, 0.5

0.0, 3.0, 2.0

0.3, 0.33, 0.5

4.0, 3.0, 2.0

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE ECE topic:vector-calculus PYQs