Mathematical Methods of Physics-Vector Algebra and Vector Calculus [CSIR (Council of Scientific & Industrial Research) Physical Sciences]: Questions 1 - 6 of 7

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Question 1

Appeared in Year: 2014

Question MCQ▾

Let denote the position vector of any point in three dimensional space and . Then, (December)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 2

Appeared in Year: 2012

Question MCQ▾

A vector perpendicular to any vector that lies on the plane defined by , is (June)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 3

Appeared in Year: 2011

Question MCQ▾

Let and be two distinct three – dimensional vectors. Then the component of that is perpendicular to is given by, - (June)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 4

Appeared in Year: 2017

Question MCQ▾

The two vectors and are orthonormal if: (June)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 5

Appeared in Year: 2022

Question MCQ▾

The volume of the region common to the interiors of two infinitely long cylinders defined by and is best approximately

Choices

Choice (4)Response

a.

625

b.

333

c.

423

d.

225

Edit

Question 6

Appeared in Year: 2020

Question MCQ▾

Two time dependent non-zero vectors and , which are not initially parallel to each other, satisfy at all-time t. If the area of the parallelogram formed by and be and the unit normal vector to it b , then

Choices

Choice (4)Response

a.

and are constants

b.

is a constant, but rotates about

c.

increases linearly with t, but is a constant

d.

increases linearly with t, and rotates about

Edit