Let a- - i- - 2j- - k- b- - i- - j- - k- and c- - i- - j- - k- A vector in the plane of a- and b- has projection 1-3 onc- Then- one such vector is

The correct option is C 4i⃗ j⃗ + 4k⃗ Let v⃗ be the vector then v⃗ =a⃗ +λb⃗ ∴v⃗ =( 1+λ #160;) î +( 2 λ #160;) ĵ +( 1+λ #160;) k̂ No ...

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Dot Product of Two Vectors

Let a⃗ = i⃗...

Question

Let $\to a = \to i + 2 \to j + \to k, \to b = \to i - \to j + \to k$ and $\to c = \to i + \to j - \to k$ . A vector in the plane of $\to a$ and $\to b$ has projection $\frac{1}{\sqrt{3}} o n \to c$ . Then, one such vector is

4 \to i + \to j - 4 \to k

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3 \to i + \to j - 3 \to k

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4 \to i - \to j + 4 \to k

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2 \to i + \to j - 2 \to k

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Solution

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Similar questions

\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 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 r = 3 \to i + 2 \to j - 5 \to k

\to a = 2 \to i - \to j + \to k

\to b = \to i + 3 \to j - 2 \to k

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

\to r = λ \to a + μ \to b + ν \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 = 2 \to i + \to k, \to B = \to i + \to j + \to k,

\to C = 4 \to i - 3 \to j + 7 \to k

\to R

\to R \times \to B = \to C \times \to B

\to R . \to A = 0

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