If a is a vector of magnitude 3 units- then - a -2- a -2- a -k-2 is equal toA- 18B- 6C- 9D- 12

A vector of magnitude $\sqrt{2}$ coplanar with the vectors $\to a =^i +^j + 2^k and \to b =^i + 2^j +^k$ and perpendicular to the vector $\to c =^i +^j +^k,$ is

Q. If

\to a

is unit vector, then

| \to a \times^i |^{2} + | \to a \times^j |^{2} + | \to a \times^k |^{2} =

______

Join BYJU'S Learning Program

If →a is a vector of magnitude 3 units, then ∣∣→a×^i∣∣2+∣∣→a×^j∣∣2+∣∣→a×^k∣∣2 is equal to

The correct option is B 18 given expression =2|→a|2=18

If $\to a$ is a vector of magnitude 3 units, then ${∣ ∣ \to a \times^i ∣ ∣}^{2} + {∣ ∣ \to a \times^j ∣ ∣}^{2} + {∣ ∣ \to a \times^k ∣ ∣}^{2}$ is equal to

The correct option is B
18

$given expression =2 | \to a |^{2} = 18$