Question

The extremities of a diagonal of a rectangular parallelopiped whose faces are parallel to the reference planes are $(-2,4,6)$ and $(3,16,6)$. The length of the base diagonal is

• A. $7$
• B. $10$
• C. $11$
• D. $13$

Answer 1

Answer: (D)

$13$

$AC=$ base diagonal

where,

$A(-2,4,6),C(3,16,6)$

$=\sqrt{(3+2{)}^2+(16-4{)}^2+(6-6{)}^2}$

$=\sqrt{5^2+{12}^2}$

$=13$