Show that each of the given three vectors is a unit vector: 17(2^i+3^j+6^k),17(3^i−6^j+2^k),17(6^i+2^j−3^k). Also, show that they are mutually perpendicular to each other.

Show that each of the given three vectors is a unit vector: 17(2^i+3^j

1.	Show that each of the given three vectors is a unit vector: 17(2^i+3^j+6^k),17(3^i−6^j+2^k),17(6^i+2^j−3^k). Also, show that they are mutually perpendicular to each other.
Answer» Show that each of the given three vectors is a unit vector: $\frac{1}{7} (2^i + 3^j + 6^k), \frac{1}{7} (3^i - 6^j + 2^k), \frac{1}{7} (6^i + 2^j - 3^k)$ . Also, show that they are mutually perpendicular to each other.

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Show that each of the given three vectors is a unit vector: 17(2^i+3^j+6^k),17(3^i−6^j+2^k),17(6^i+2^j−3^k). Also, show that they are mutually perpendicular to each other.

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