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Question: Angle between the rays with d.r.'s 4, – 3, 5 & 3, 4, 5 is-...

Angle between the rays with d.r.'s 4, – 3, 5 & 3, 4, 5 is-

A

cos–146\sqrt { \frac { 4 } { 6 } }

B

cos–1(26)\left( \frac { 2 } { 6 } \right)

C

cos–1 (12)\left( \frac { 1 } { 2 } \right)

D

Not defined

Answer

cos–1 (12)\left( \frac { 1 } { 2 } \right)

Explanation

Solution

cos q =

=1212+2516+9+259+16+25\frac { 12 - 12 + 25 } { \sqrt { 16 + 9 + 25 } \cdot \sqrt { 9 + 16 + 25 } } = 12\frac { 1 } { 2 }

q = cos–1(12)\left( \frac { 1 } { 2 } \right)