Question

Select the correct option from the given alternatives:

Let a, b, c be distinct non-negative numbers. If the vectors `"a"hat"i" + "a"hat"j" + "c"hat"k" , hat"i" + hat"k"  "and"  "c"hat"i" + "c"hat"j" + "b"hat"k"` lie in a plane, then c is

Options

• the arithmetic mean of a and b

• the geometric mean of a and b

• the harmonic man of a and b

• 0

Answer 1

the geometric mean of a and b