Let a → , b → and c → , be three unit vectors such that a → + b → + c → = 0 → . If λ = a → ⋅ b → + b → ⋅ c → + c → ⋅ a → and d → = a → × b → + b → × c → + c…

Question

Let a &#8594; , b &#8594; and c &#8594; , be three unit vectors such that a &#8594; + b &#8594; + c &#8594; = 0 &#8594; . If &#955; = a &#8594; &#8901; b &#8594; + b &#8594; &#8901; c &#8594; + c &#8594; &#8901; a &#8594; and d &#8594; = a &#8594; &#215; b &#8594; + b &#8594; &#215; c &#8594; + c &#8594; &#215; a &#8594; , then the order pair, &#955; , d &#8594; , is equal to.

Aicharya · Accepted Answer

a &#8594; + b &#8594; + c &#8594; 2 = 0 3 + 2 a &#8594; &#183; b &#8594; + b &#8594; &#183; c &#8594; + c &#8594; &#183; a &#8594; = 0 a &#8594; &#183; b &#8594; + b &#8594; &#183; c &#8594; + c &#8594; &#183; a &#8594; = - 3 2 &#8658; &#955; = - 3 2 d &#8594; = a &#8594; &#215; b &#8594; + b &#8594; &#215; - a &#8594; - b &#8594; + - a &#8594; - b &#8594; &#215; a &#8594; = a &#8594; &#215; b &#8594; + a &#8594; &#215; b &#8594; + a &#8594; &#215; b &#8594; d &#8594; = 3 a &#8594; &#215; b &#8594; .

Let a → , b → and c → , be three unit vectors such that a → + b → + c →…

Solution

Let a &#8594; , b &#8594; and c &#8594; , be three unit vectors such that a &#8594; + b &#8594; + c &#8594;…

Solution

Let a → , b → and c → , be three unit vectors such that a → + b → + c →…