Advertisements
Advertisements
Question
Given below in column I are the relations between vectors a, b and c and in column II are the orientations of a, b and c in the XY plane. Match the relation in column I to correct orientations in column II.
| Column I | Column II | ||
| (a) | a + b = c | (i) | ![]() |
| (b) | a – c = b | (ii) | ![]() |
| (c) | b – a = c | (iii) | ![]() |
| (d) | a + b + c = 0 | (iv) | ![]() |
Advertisements
Solution
The correct match for the elements of column I and II are as follows:
| Column I | Column II | ||
| (a) | a + b = c | (iv) | ![]() |
| (b) | a – c = b | (iii) | ![]() |
| (c) | b – a = c | (i) | ![]() |
| (d) | a + b + c = 0 | (ii) | ![]() |
APPEARS IN
RELATED QUESTIONS
Establish the following vector inequalities geometrically or otherwise:
- | a+b | ≤ |a| + |b|
- |a + b| ≥ | |a| - |b| |
- |a - b| ≤ |a| + |b|
- |a-b| ≥ | |a| - |b| |
When does the equality sign above apply?
Given a + b + c + d = 0, state whether the following statement is correct or incorrect:
The magnitude of (a + c) equals the magnitude of (b + d).
Given a + b + c + d = 0, state whether the following statement is correct or incorrect:
The magnitude of a can never be greater than the sum of the magnitudes of b, c, and d.
The resultant of two vectors `vecA` and `vecB` is `vecC`. If the magnitude of `vecB` is doubled, the new resultant vector becomes perpendicular to `vecA`, then the magnitude of `vecC` is
What is the essential condition required for two or more vectors to be added or subtracted?
Multiple engines pushing an aircraft forward is an example of:
A swimmer attempts to swim upstream. The swimmer can swim at 4 m/s in still water, but the current flows downstream at 1.5 m/s. What is the swimmer's net velocity relative to the ground?
Vector subtraction is______.
The process of finding the resultant of two or more vectors is called ______.
The resultant of two vectors will be maximum, if they are ______.
The resultant of two vectors will be minimum, if they are ______.
The process of finding the components of a given vector is called as ______.
If the sum of two unit vectors is a unit vector, then magnitude of difference is ______.
A vector \[\vec a\] is turned without a change in its length through a small angle dθ. The value of |Δ\[\vec a\]| and Δa are respectively





