Three vectors A, B, and C add up to zero. Then:
1. | vector (A×B)×C is not zero unless vectors B and C are parallel. |
2. | vector (A×B).C is not zero unless vectors B and C are parallel. |
3. | if vectors A, B and C define a plane, (A×B)×C is in that plane. |
4. | (A×B).C = |A||B||C| → C2 = A2 + B2 |
The incorrect statement/s is/are:
1. (b, d)
2. (a, c)
3. (b, c, d)
4. (a, b)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyIf \(\left| \vec{A}\right|\) = \(2\) and \(\left| \vec{B}\right|\) = \(4,\) then match the relations in column-I with the angle \(\theta\) between \(\vec{A}\) and \(\vec{B}\) in column-II.
Column-I | Column-II |
(A) \(\left| \vec{A}\times \vec{B}\right|\) \(=0\) | (p) \(\theta=30^\circ\) |
(B)\(\left| \vec{A}\times \vec{B}\right|\)\(=8\) | (q) \(\theta=45^\circ\) |
(C) \(\left| \vec{A}\times \vec{B}\right|\) \(=4\) | (r) \(\theta=90^\circ\) |
(D) \(\left| \vec{A}\times \vec{B}\right|\) \(=4\sqrt2\) | (s) \(\theta=0^\circ\) |
1. | A(s), B(r), C(q), D(p) |
2. | A(s), B(p), C(r), D(q) |
3. | A(s), B(p), C(q), D(r) |
4. | A(s), B(r), C(p), D(q) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology