Three vectors A -2 -3 k- B -2 -k- and C -3 - are given- If A - t B is perpendicular to C then- t is

A⃗ + tB⃗ = î+ 2ĵ + 3 k̂ + t( î + 2ĵ + k̂) = nbsp; (1 t)î + (2 + 2t)ĵ + (3+t) k̂ (A⃗ + B⃗). C⃗ = 0 3(1 t) +(2+2t)=0 t = 5 sec ...

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Multiplication with Vectors

Three vectors...

Question

Three vectors $\to A =^i + 2^j + 3^k, \to B = -^i + 2^j +^k$ and $\to C = 3^i +^j$ are given. If $\to A + t \to B$ is perpendicular to $\to C$ then, t is

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

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

\to c = 3^i +^j

\to a + t \to b

\to c

t

\to c

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

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

\to c \cdot (^i +^j + 3^k),

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

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

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

\to C D = 2^i +^j + 3^k

\to O A =^i +^j +^k

\to O D

If $a = 2^i + 2^j + 3^k$ , $b = -^i + 2^j +^k$ and $c = 3^i +^j$ such that $a + λ b$ is perpendicular to c, then find the value of $λ$ .

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

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

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