Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

If → a × → B = 0 Can You Say that (A) → a = → B , (B) → a ≠ → B - Physics

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Answer in Brief

If \[\vec{A} \times \vec{B} = 0\] can you say that

(a) \[\vec{A} = \vec{B} ,\]

(b) \[\vec{A} \neq \vec{B}\] ?

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If  \[\vec{A} \times \vec{B} = 0\], then both the vectors are either parallel or antiparallel, i.e., the angle between the vectors is either \[0^\circ \text { or } 180^\circ\].

\[\vec{A} \vec{ B } \sin\ \theta \ \hat { n } = 0.......\left(\because \sin0^\circ= \sin180^\circ = 0\right)\]

Both the conditions can be satisfied:

(a) \[\vec{A} = \vec{B} ,\] i.e., the two vectors are equal in magnitude and parallel to each other

(b) \[\vec{A} ≠ \vec{B} ,\]  i.e., the two vectors are unequal in magnitude and parallel or anti parallel to each other.

Concept: What is Physics?
  Is there an error in this question or solution?


HC Verma Class 11, Class 12 Concepts of Physics Vol. 1
Chapter 2 Physics and Mathematics
Short Answers | Q 13 | Page 28

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