- 1(current)
Q. No.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 the 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) |  |
Choose the correct option from the given table.
| 1. | a-(ii), b-(iv), c-(iii), d-(i) |
| 2. | a-(i), b-(iii), c-(iv), d-(ii) |
| 3. | a-(iv), b-(iii), c-(i), d-(ii) |
| 4. | a-(iii), b-(iv), c-(i), d-(ii) |
Subtopic: Resultant of Vectors |
71%
Level 2: 60%+
Hints
For two vectors \(\vec A\) and \(\vec B\), |\(\vec A\)+\(\vec B\)|=|\(\vec A\) - \(\vec B\)| is always true when:
| (a) | |\(\vec A\)| = |\(\vec B\)| ≠ \(0\) |
| (b) | \(\vec A\perp\vec B\) |
| (c) | |\(\vec A\)| = |\(\vec B\)| ≠ \(0\) and \(\vec A\) and \(\vec B\) are parallel or antiparallel. |
| (d) | when either |\(\vec A\)| or |\(\vec B\)| is zero. |
Choose the correct option from the given ones:
| 1. | (a), (d) |
| 2. | (b), (c) |
| 3. | (b), (d) |
| 4. | (a), (b) |
Subtopic: Resultant of Vectors |
55%
Level 3: 35%-60%
Hints
- 1(current)
Q. No.
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