Statement 1: Let `theta`be the angle between the line `(x-2)/2=(y-1)/(-3)=(z+2)/(-2)`and the plane `x+y-z=5.`Then `theta=sin^(-1)(1//sqrt(51))dot`Statement 2: The anglebetween a straight line and a plane is the complement of the angle betweenthe line and the normal to the plane.A. Both the statements are true, and Statement 2 is the correct explanation for Statement 1.B. Both the Statements are true, but Statement 2 is not the correct explanation for Statement 1.C. Statement 1 is true and Statement 2 is false.D. Statement 1 is false and Statement 2 is true.

Statement 1: Let `theta`be the angle between the line `(x-2)/2=(y-1)/(

1.	Statement 1: Let `theta`be the angle between the line `(x-2)/2=(y-1)/(-3)=(z+2)/(-2)`and the plane `x+y-z=5.`Then `theta=sin^(-1)(1//sqrt(51))dot`Statement 2: The anglebetween a straight line and a plane is the complement of the angle betweenthe line and the normal to the plane.A. Both the statements are true, and Statement 2 is the correct explanation for Statement 1.B. Both the Statements are true, but Statement 2 is not the correct explanation for Statement 1.C. Statement 1 is true and Statement 2 is false.D. Statement 1 is false and Statement 2 is true.
Answer» Correct Answer - c `sin theta = \|(2-3+2)/(sqrt(4+9+4)sqrt(3))\|= (1)/(sqrt(51))` Therefore, Statement 1 is true and Statement 2 is also true by definition.