GATE ECE Vector Analysis 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.

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The smaller angle (in degrees) between the planes

and

is _____.

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Let

where

are real, and let

be the straight line segment from point

to point

. The value of

is ________.

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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

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GATE ECE Vector Analysis PYQs