1. Given that a= 2i+3j+5k and b-i-3j+k, determine the: i. scaler product a.b. ii. cosine of...

 

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1. Given that a= 2i+3j+5k and b-i-3j+k, determine the: i. scaler product a.b. ii. cosine of the angle between a and b. 2. Briefly explain the physical meaning of the following on vector and scaler fields: i. Gradient ii. Divergence iii. Curl 3. Find the gradient of the vector field F = xi+yj. 4. Determine the divergence of G (x, y, z) = 3x²i-2yj. 1. Given that a= 2i+3j+5k and b-i-3j+k, determine the: i. scaler product a.b. ii. cosine of the angle between a and b. 2. Briefly explain the physical meaning of the following on vector and scaler fields: i. Gradient ii. Divergence iii. Curl 3. Find the gradient of the vector field F = xi+yj. 4. Determine the divergence of G (x, y, z) = 3x²i-2yj.

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1 i The scalar product of two vectors A and B is defined as AB A B cos where is the angle between the two vectors Therefore the scalar product of a an... View the full answer