Let a → = i ^ + j ^ + k ^ ,   c → = j ^ - k ^ and a vector b → be such that a → × b → = c → and a → ⋅ b → = 3 . Then b → equals

Question

Let a &#8594; = i ^ + j ^ + k ^ , &#160; c &#8594; = j ^ - k ^ and a vector b &#8594; be such that a &#8594; &#215; b &#8594; = c &#8594; and a &#8594; &#8901; b &#8594; = 3 . Then b &#8594; equals

Aicharya · Accepted Answer

Given, a &#8594; &#215; b &#8594; = c &#8594; &#8658; a &#8594; &#215; a &#8594; &#215; b &#8594; = a &#8594; &#215; c &#8594; &#8658; a &#8594; &#8901; b &#8594; a &#8594; - a &#8594; &#8901; a &#8594; b &#8594; = a &#8594; &#215; c &#8594; a &#8594; &#215; c &#8594; = i ^ j ^ k ^ 1 1 1 0 1 - 1 = - 2 i ^ + j ^ + k ^ &#8658; 3 a &#8594; - 3 b &#8594; = - 2 i ^ + j ^ + k ^ &#8658; 3 i ^ + 3 j ^ + 3 k ^ - 3 b &#8594; = - 2 &#160; i ^ + j ^ + k ^ &#8658; b &#8594; = 1 3 5 i ^ + 2 j ^ + 2 k ^ &#8756;&#160; b &#8594; = 25 + 4 + 4 3 &#8658; b &#8594; = 11 3

Let a → = i ^ + j ^ + k ^ ,   c → = j ^ - k ^ and a vector b → be such that a →…

Solution

Let a &#8594; = i ^ + j ^ + k ^ , &#160; c &#8594; = j ^ - k ^ and a vector b &#8594; be such that a &#8594;…

Solution

Let a → = i ^ + j ^ + k ^ , c → = j ^ - k ^ and a vector b → be such that a →…