If a is perpendicular to both b and c, then?
a+(b+c)=0
a×(b+c)=0
a×(b×c)=0
a·(b×c)=0
Explanation for the correct option:
Given, a→⊥b→,a→⊥c→
As we know,
a→×(b→×c→)=(a→⋅c→)b→−(a→⋅b→)c→
=0-0 ∵a→⊥b→,a→⊥c→,∴a→·b→=0,a→·c→=0
∴a→×(b→×c→)=0
Hence, Option ‘C’ is Correct.
In the figure, AD is a straight line. OP is perpendicular to AD and O is the centre of both the circles. If AO = 34 cm, OB = 20 cm and OP = 16 cm, then the length of AD is
Two parallel lines l and m are such that A, C are the points on l and B, D are the points on m. AB and CD are perpendicular to both l and m. If AB = 4 cm, then CD =