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1. Hallar dos vectores unitarios y ortogonales a 〈?, ?, ?〉 y 〈−?, ?, ?〉. 2....

1. Hallar dos vectores unitarios y ortogonales a 〈?, ?, ?〉 y 〈−?, ?, ?〉.

2. Hallar la ecuación vectorial y ecuaciones simétricas de la línea paralela a la línea que pasa por (−?, ?, ?)y es paralela a la línea ?? = ?? = ? + ?.

Solutions

Expert Solution

por lo tanto, la unidad de vectores ortogonales a ambos

(Therefore unit orthogonal vector to both)

      

Obtenemos otra unidad de vector ortogonal simplemente multiplicando el vector con -1

(We get another unit orthogonal vector by just multiplying the vector with -1)

ya que será paralelo al primer vector.

(as it will be parallel to first vector)

El segundo vector unitario es

(Second unit vector is)

2] líneas paralelas tienen proporciones de la misma dirección

(parallel lines have same direction ratios)

La línea dada tiene relaciones de dirección (1 / 2,3,1),si la ecuación de línea es 2x=y/3=z+1

(Given line has direction ratios (1/2,3,1),if the equation of line is 2x=y/3=z+1)

Por lo tanto, la línea requerida tiene relaciones de dirección (1 / 2,3.1)

(Therefore, required line has direction ratios (1/2,3.1))

La línea pasa por (-6,2,3). Entonces la ecuación de línea es

(The line passes through (-6,2,3). So equation of line is)

Gracias y haz tu voto.Y perdón por los errores en español que he traducido usando google

Thank you and do upvote and sorry for mistakes in spanish as i have translated using google

milcah answered 2 years ago
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