Class 12

Math

Algebra

Vector Algebra

The magnitude of the vector product of the vector $i^+j^ +k^$with a unit vector along the sum of vectors $2i^+4j^ −5k^$and $λi+2j^ +3k^$is equal to $2 $. Find the value of $λ$.

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Show that $∣a∣b+∣∣ b∣∣ a$is perpendicular to $∣a∣b−∣∣ b∣∣ a$, for any two nonzero vectors $a$ and $b$.

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