Let vector a, vector b and vector c be three mutually perpendicular v

1.	Let vector a, vector b and vector c be three mutually perpendicular vectors each of unit magnitude. If vector = vector a + vector b + vector c, vector B = vector a - vector b + vector c and vector C = vector a - vector b - vector c, then which one of the following is correct? a. \|vector A\| > \|vector B\| > \|vector C\|b.\|vector A\| = \|vector B\| ≠ \|vector C\|c. \|vector A\| = \|vector B\| = \|vector C\|d. \|vector A\| ≠ \|vector B\| ≠ \|vector C\|
Answer» Correct option c. \|vector A\| = \|vector B\| = \|vector C\| Explanation: for simplicity let us take vector a, vector b, vector c as i, j, k. Now magnitude of vector A, vector B and vector C will be √3.

Let vector a, vector b and vector c be three mutually perpendicular vectors each of unit magnitude. If vector = vector a + vector b + vector c, vector B = vector a - vector b + vector c and vector C = vector a - vector b - vector c, then which one of the following is correct? a. |vector A| > |vector B| > |vector C|b.|vector A| = |vector B| ≠ |vector C|c. |vector A| = |vector B| = |vector C|d. |vector A| ≠ |vector B| ≠ |vector C|

Answer»

Correct option c. |vector A| = |vector B| = |vector C|

Explanation:

for simplicity let us take vector a, vector b, vector c as i, j, k.

Now magnitude of vector A, vector B and vector C will be √3.

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