If a - i - j - k- c - j - k - then find vector b such that a - b - c and a- b - 3

b=xi+yi+zk #160;Now, #160; a b=x+y+x=3 aα b=(i+j+k)α (xi+yi+zk) =((z y)i+(x z)i+(y x)k)=j k #160;Now, #160; z y=0 z=y ...

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Definition of Vector

If a = i + j ...

Question

If a = i + j + k, c = j - k , then find vector b such that $a \times b = c$ and a. b = 3

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\to a = ˆ i + ˆ j + ˆ k

\to b = ˆ j - ˆ k

\to c

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

\to a . \to c = 3

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

¯ ¯ b

¯ ¯ ¯ a . ¯ ¯ b = ¯ ¯ ¯ 0, ¯ ¯ c . ¯ ¯ b = 0 a n d ∣ ∣ ¯ ¯ b ∣ ∣ = \sqrt{6}

Let a=i+j+k and c=j-k . If b is a vector satisfying a×b=c and a.b=3, then find b.

If $\to a =^i -^j +^k a n d \to b =^j -^k,$ then find a vector $\to c$ such that $\to a \times \to c = \to b a n d \to a . \to c = 3.....$

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

\to d

\to a \cdot \to d = [\to b \to c \to d] = 0,

\to d

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