Let a → = i ^ + j ^ + k ^ and b → = j ^ - k ^ . If c → is a vector such that a → × c → = b → and a → · c → = 3 , then a → · ( b → × c → ) is equal to:

Question

Let a &#8594; = i ^ + j ^ + k ^ and b &#8594; = j ^ - k ^ . If c &#8594; is a vector such that a &#8594; &#215; c &#8594; = b &#8594; and a &#8594; &#183; c &#8594; = 3 , then a &#8594; &#183; ( b &#8594; &#215; c &#8594; ) is equal to:

Aicharya · Accepted Answer

We know that, for vectors a &#8594; , &#160; b &#8594; and c &#8594; a &#8594; &#183; ( b &#8594; &#215; c &#8594; ) = a &#8594; b &#8594; c &#8594; = c &#8594; a &#8594; b &#8594; &#8658; a &#8594; &#183; ( b &#8594; &#215; c &#8594; ) = ( c &#8594; &#215; a &#8594; ) &#183; b &#8594; = - b &#8594; &#183; b &#8594; &#8757; a &#8594; &#215; c &#8594; = b &#8594; &#8658; c &#8594; &#215; a &#8594; = - b &#8594; = - b &#8594; 2 = - 1 2 + - 1 2 2 = - 2

Let a → = i ^ + j ^ + k ^ and b → = j ^ - k ^ . If c → is a vector such that a →…

Solution

Let a &#8594; = i ^ + j ^ + k ^ and b &#8594; = j ^ - k ^ . If c &#8594; is a vector such that a &#8594;…

Solution

Let a → = i ^ + j ^ + k ^ and b → = j ^ - k ^ . If c → is a vector such that a →…