Q3 (5+5 Marks) A. In a navy control system, a radar signal moves in three-dimensional space to catch a suspected boat located at w =. To investigate this boat another boat was sent from location z =2i+ 4j, 6k. Can boat z catch boat w before w run away? Justify your answer! If not, orthogonalize these boats locations using Gram- Schmidt technique to enable w catches z. Normalize these boats locations to produce new orthonormal positions which can be used as direction in controlling a national sea region. B. An investor from Australia wanted to invest $30,000 in corporate bonds with ratings of A, B, and C. Lower-rated loans have a higher interest rate, but they also 2 | Page carry a larger risk. A bond has a yield of 7%, B bonds have a yield of 8%, and C bonds have a yield of 15%. Because the investor is conservative, he wants to invest twice as much in A bond as he does in B bonds. To earn $6000 in interest, how much should be put in each sort of bond? Q3 (5+5 Marks) A. In a navy control system, a radar signal moves in three-dimensional space to catch a suspected boat located at w =. To investigate this boat another boat was sent from location z =2i+ 4j, 6k. Can boat z catch boat w before w run away? Justify your answer! If not, orthogonalize these boats locations using Gram- Schmidt technique to enable w catches z. Normalize these boats locations to produce new orthonormal positions which can be used as direction in controlling a national sea region. B. An investor from Australia wanted to invest $30,000 in corporate bonds with ratings of A, B, and C. Lower-rated loans have a higher interest rate, but they also 2 | Page carry a larger risk. A bond has a yield of 7%, B bonds have a yield of 8%, and C bonds have a yield of 15%. Because the investor is conservative, he wants to invest twice as much in A bond as he does in B bonds. To earn $6000 in interest, how much should be put in each sort of bond