Let a- - - - - - k- - b- - - - 3 - - 5 k- and c- - 7 - - 9 - - 11 k- Then the area of the parallelogram with diagonals a- - b- and b- - c- is

The correct option is A 4 √(6) a⃗ = î + ĵ + k̂ b⃗ = î + 3 ĵ + 5 k̂ c⃗ = 7 î + 9 ĵ + 11 k̂ Diagonals: D_1=a⃗+b⃗ D_2=b⃗+c⃗ Area of ...

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Applications of Cross Product

Let a⃗ = î ...

Question

Let $\to a =^i +^j +^k, \to b =^i + 3^j + 5^k$ and $\to c = 7^i + 9^j + 11^k$ . Then the area of the parallelogram with diagonals $\to a + \to b$ and $\to b + \to c$ is

4 \sqrt{6}

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\frac{1}{2} \sqrt{21}

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\frac{\sqrt{6}}{2}

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\sqrt{6}

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\frac{1}{\sqrt{6}}

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Similar questions

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

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

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

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

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

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

\to a =^i +^j +^k, \to b =^i +^j -^k

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

\to d =^i -^j -^k

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

\to a =^i +^j +^k

\to b = - 3^i +^k

\to c =^i + 2^j + 3^k

A)

[\to a \times \to b

\to b \times \to c

\to c \times \to a]

B)

[\to a + \to b

\to b + \to c

\to c + \to a]

C)

[\to a

\to b

\to c]

[\to a

\to b

\to c]^{- 1}

D)

[\to a - \to b

\to b - \to c

\to c - \to a]

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

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

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