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Vectors vec{A} and vec{B} lie in an xy plane. vec{A} has magnitude 9.0 and angle 146^{circ}; vec{B} has components $B_x = -8.72$ and $B_y = -6.13$. (a) What is $5vec{A} cdot vec{B}$? What is $4vec{A} imes 3vec{B}$ in unit-vector notation ((b), (c) and (d) for $hat{i}$, $hat{j}$ and $hat{k}$ components respectively)? (e) What is the angle between the directions of vec{A} and $4vec{A} imes 3vec{B}$? What is vec{A} + 3.00hat{k} in unit-vector notation ((f), (g) and (h) for $hat{i}$, $hat{j}$ and $hat{k}$ components respectively) and magnitude-angle notation with spherical coordinates ((i) for magnitude, (j) for $ heta$ and (k) for $phi$)?

          Vectors vec{A} and vec{B} lie in an xy plane. vec{A} has magnitude 9.0 and angle 146^{circ}; vec{B} has components $B_x = -8.72$ and $B_y = -6.13$. (a) What is $5vec{A} cdot vec{B}$? What is $4vec{A} 	imes 3vec{B}$ in unit-vector notation ((b), (c) and (d) for $hat{i}$, $hat{j}$ and $hat{k}$ components respectively)? (e) What is the angle between the directions of vec{A} and $4vec{A} 	imes 3vec{B}$? What is vec{A} + 3.00hat{k} in unit-vector notation ((f), (g) and (h) for $hat{i}$, $hat{j}$ and $hat{k}$ components respectively) and magnitude-angle notation with spherical coordinates ((i) for magnitude, (j) for $	heta$ and (k) for $phi$)?

Vectors vecA and vecB lie in an xy plane. vecA has magnitude 9.0 and angle 146^circ; vecB has components Bx = -8.72 and By = -6.13. (a) What is 5vecA cdot vecB? What is 4vecA imes 3vecB in unit-vector notation ((b), (c) and (d) for hati, hatj and hatk components respectively)? (e) What is the angle between the directions of vecA and 4vecA imes 3vecB? What is vecA + 3.00hatk in unit-vector notation ((f), (g) and (h) for hati, hatj and hatk components respectively) and magnitude-angle notation with spherical coordinates ((i) for magnitude, (j) for heta and (k) for phi)?

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