If the volume of a parallelopiped, whose conterminous edges are given by the vectors
n = 7
n = 9
a→ . c→ = 17
C.
b→ . c→ = 10
Volume of parallelepiped v =a→ b→ c→v = 11n24 - n1n3 = ± 158112 + n2 - 16 + n + n2n - 4 = ± 1583n2 - 5n - 192 = 0 or 3n2 - 5n + 164 = 0n = 8, - 193 ⇒ 8then b→ . c→ = 2 + 4n - 3n = 10a→ . c→ = 1 + n + 3n = 33
Let the vectorsa→, b→, c→ be such that a→ = 2, b→ = 4 and c→ = 4. If the projection of b→ on a→ is equal to the projection of c→on a→ and b→ is perpendicular to c→, then the value of a→ + b→ + c→is .......
If a→ and b→ are unit vectors, then the greatest value of 3a→ + b→ + a→ - b→ = ?