Let a-2i-j-k- b-i-2j-k- and a unit vector c- be coplanar- If c- is perpendicular to a- then c-

The correct option is A 1√(2) ( j⃗+k⃗ ) Let #160; c⃗ = pi⃗ + qj⃗ + rk⃗ Coplanarity implies #160; 2 amp; 1 amp; 1 1 amp; 2 a ...

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Applications of Dot Product

Let a⃗=2i⃗+...

Question

Let $\to a = 2 \to i + \to j + \to k$ , $\to b = \to i + 2 \to j - \to k$ and a unit vector $\to c$ be coplanar. If $\to c$ is perpendicular to $\to a$ then $\to c =$

\frac{1}{\sqrt{2}} (- \to j + \to k)

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\frac{1}{\sqrt{3}} (- \to i - \to j - \to k)

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\frac{1}{\sqrt{5}} (\to i - 2 \to j)

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\frac{1}{\sqrt{3}} (\to i - \to j - \to k)

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Similar questions

\to a = 3 \to i + 2 \to j + 6 \to k

\to b = 2 \to i + \to j + \to k

\to c = \to i - \to j + \to k

\to a = \to i + \to j + \to k, \to a = 2 \to i + \to k, \to c = 2 \to i + \to j + \to k; \to d = \to i + \to j + 2 \to k

(\to a \times \to b) \times (\to c \times \to d) = [\to a \to b \to d] \to c - [\to a \to b \to c] \to d

\to a = \to i - 2 \to j - 3 \to k, \to b = 2 \to i + \to j - \to k, \to c = \to i + 3 \to j - 2 \to k

(\to a \times \to b) \times \to c

\to a

\to i

\to k

\to b

\to i

\to j

\to k

\to c

\to i

\to j

\to k

\to a

\to b

\to c

\to a = \to i + \to j + \to k, \to c = \to j - \to k

\to b

\to a \times \to b = \to c

\to a . \to b = 3

\to b

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