Let a = i +3 j - k , b =3 i - j +4 k and c = i +2 j -2 k , where , R , be three vectors. If the projection of a on c is 10 3 and b c =-6 i +10 j +7 k , then the value of 2 + is

Step-by-step solution

Projection of a on c = a c | c | aligned & +6+2 1+4+4 = 10 3 & =2 & b c = | array ccc i & j & k 3 & - & 4 1 & 2 & -2 array | & =(2 -8) i -(-6-4) j +(6+ ) k & =(2 -8) i +10 j +(6+ ) k aligned Comparing with -6 i +10 j +7 k , we get array ll & 2 -8=-6 & 2 =2 & =1 & 2 + =5 array