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Hello sir, If vector A is perpendicular to vector B, then a) A×B=0 b) A.(A+B) = A^2 c) A.B = AB d) A.(A+B) = A^2 + AB

Hello sir,
If vector A is perpendicular to vector B, then
a) A×B=0  
b) A.(A+B) = A^2
c) A.B = AB
d) A.(A+B) = A^2 + AB

Grade:11

2 Answers

Eshan
askIITians Faculty 2095 Points
5 years ago
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Aman
16 Points
5 years ago
Answer is (b):
Given vectors are perpendicular to each other
A.(A+B)= A.A + A.B
       A.A + AB cos 90o = A.A
And A.A= A2
hence proved
 

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