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Collinear Vectors

6. For non ze...

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6. For non zero vectors a,b,c ; magnitude of axb.c = magnitude of a,b,c holds only if ?

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Q. For non-zero vectors

\to a, \to b, \to c, (\to a \times \to b) . \to c = ∣ ∣ \to a ∣ ∣ ∣ ∣ ∣ \to b ∣ ∣ ∣ ∣ ∣ \to c ∣ ∣

holds if and only if

Q. For non-zero vectors

\to a, \to b, \to c; ∣ ∣ ∣ (\to a \times \to b) \cdot \to c ∣ ∣ ∣ = ∣ ∣ \to a ∣ ∣ ∣ ∣ ∣ \to b ∣ ∣ ∣ ∣ ∣ \to c ∣ ∣

holds if and only if

Q. For non-coplanar vectors

A, B

C, | [A B C] | = | A | | B | | C |

holds if and only if

Q. For non-zero vectors

\to a, \to b, \to c, | \to a \times \to b \times \to c | = | \to a | | \to b | | \to c |

holds if and only if:

Q. For non -zero vectors

\to a, \to b, \to c (\to a \times \to b) . \to c = ∣ ∣ \to a ∣ ∣ ∣ ∣ ∣ \to b ∣ ∣ ∣ ∣ ∣ \to c ∣ ∣

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Collinear Vectors

Standard XII Mathematics

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