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. |
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. |
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. |
Question 4
Appeared in Year: 2017
Question MCQ▾
The two vectors and are orthonormal if: (June)
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
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 |
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 |