Math miscellaneousHard

Question

In a parallelogram ABC, = a, = b and = c, then . has the value :

Options

A.1/2 (a2 + b2 + c2)
B.1/2 (a2 − b2 + c2)
C.1/4 (a2 + b2 − c2)
D.1/3 (b2 + c2 − a2)

Solution


, ,
∵ 


⇒  a2 + b2 + 2 = C2
⇒ a2 + b2 + 2a2 + 2
⇒ 3a2 + b2 - c2 = + 2
⇒ = (3a2 + b2 - c2)

Create a free account to view solution

View Solution Free
Topic: Math miscellaneous·Practice all Math miscellaneous questions

More Math miscellaneous Questions

The number of integral solution of the equation x + y + z = 0, with x ≥ - 5, y ≥ - 5, z ≥ - 5 is : -...If Xm. yn = (x + y)m + n, then is...[x2] dx is...If C is centre and A and B are two points on conic 4x2 - 9y2 - 8x - 36y + 4 = 0 such that ∠ ACB = , then CA-2 + CB...If f(x + y) = f(x)f(y) ∀ x, y ∈ R and f(0) ≠ 0 and F(x) = , then F(x) dx - F(x)dx is equal to -...