Prove that if A is perpendicular to B and C then A and B ×C they are parallel

  • matematika

    Subject:

    Math
  • Author:

    toby7
  • Created:

    1 year ago

Answers 1

Answer:

Explanation: Cross product of vectors A and B is perpendicular to each vector A and B. ∴ for two vectors →Aand→B if →C is the vector perpendicular to both.

Step-by-step explanation:

a, b, c are non-zero vectors and a is perpendicular to both b and c.Find a unit vector perpendicular to both →a and →b, where →a=ˆi−2ˆj+3ˆk and →b=ˆi+2ˆj−ˆk. Hint: In cross product (or vector product) of two nonzero vectors $\vec a$ and $\vec b$, the resultant vector is perpendicular to both vectors $\vec a$ and $\vec b$.

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