Let a- -2- - -k- -b- - -2- -k- -c- - - -2k- be three vectors- A vector in the plane of b- and c- whose projection on a- is of magnitude - 2 3 - is

The correct option is A 2î +3ĵ 3k̂ Any vector in the plane of b⃗ ,c⃗ is r⃗=mb⃗ +c⃗ =(m+1)î +(2m+1)ĵ +( m 2)k̂ Projection of r⃗ on ...

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Angle between a Plane and a Line

Let a⃗ =2î ...

Question

Let $\to a = 2^i -^j +^k, \to b =^i + 2^j + -^k, \to c =^i +^j - 2^k$ be three vectors. A vector in the plane of $\to b$ and $\to c$ whose projection on $\to a$ is of magnitude $\sqrt{\frac{2}{3}}$ , is

2^i + 3^j - 3^k

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2^i + 3^j + 3^k

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- 2^i -^j + 5^k

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2^i +^j + 5^k

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Solution

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Similar questions

\to r = 3^i + 2^j - 5^k, \to a = 2^i -^j +^k, \to b =^i + 3^j - 2^k

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

\to r = l \to a + m \to b + n \to c

\to A = 3^i - 2^j +^k, \to B =^i - 3^j + 5^k

\to C = 2^i -^j + 4^k

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

\to b = 2^i - 4^j - 3^k, \to c = -^i + 2^j + 2^k

\to a + \to b + \to c = 4^i - 4^j

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

\to a + 2 \to b - 3 \to c

\sqrt{78}

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

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

\to r = λ \to a + μ \to b + v \to c

μ, \frac{λ}{2}

v

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

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

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

\to v

\to a

\to b

\to c

\frac{2}{\sqrt{3}}

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