Question

If the shortest distance between the line $\overrightarrow { \mathrm { r } } = ( \hat { \mathrm { i } } + 2 \hat { \mathrm { j } } + 3 \hat { \mathrm { k } } )$ +l₁and+ l₂is x, then
cos^–1(cos$\sqrt { 6 }$x) is equal to –

• A. ½
• B. 0
• C. 1
• D. 2

Answer 1

Answer: (C)

1

Answer 2

Line of shortest distance will be along

=

\ x = () . = $\frac { 1 } { \sqrt { 6 } }$

Ž cos^–1 (cos$\sqrt { 6 }$x) = cos^–1(cos1) = 1