Given A =(2 i -3 j + k ), B =(3 i + j -2 k ) and C =(3 i +2 j + k ) . ( A + B ) C will be

Step-by-step solution

Given vectors: A = (2 i -3 j + k ) , B = (3 i + j -2 k ) , C = (3 i +2 j + k ) The vector sum A + B is found by adding corresponding components: A + B = (2+3) i + (-3+1) j + (1-2) k = 5 i - 2 j - k The dot product with C is computed as: ( A + B ) C = (5)(3) + (-2)(2) + (-1)(1) = 15 - 4 - 1 = 10 The result is 10 .