1. Simplify the vector expression that is shown below. You may use any method in determining the required cross product or vector product. In typing the unit vectors in your final answer entry here, just type the usual "i", "j" and "k" keys, without the caret or hat, but with the appropriate signs. Show complete solutions. Ả = 3i + j- k, B = -i + 2j + 5k, C = 2j – 3k. %3D Find: C x (2A- B)

A definition of the cross product is the following: x B = |Ã||B| sin 0 where 0 is the angle between the vectors. We would read this equation as A crossed B is equal to the magnitude of vector A times the magnitude of vector B times sine of the angle between vector A and B. Unlike the dot product, the cross product looks at the product of perpendicular components, and the consequence of this is the resulting vector of the cross product is perpendicular to each of the two vectors. Suppose |A| = 3 and |B| = 4. If the angle between A and B is 30°, then what is the magnitude of A × B ? 12 0.5 Insufficient information

What is the direction of the vector product A × B? Use the legend in the box to indicate direction. a В (out) (out) O (in) zero in C b zero a e h out

The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A⃗ A→ through D⃗ D→. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified. A. What is the xcomponent of A→? B.What is the y component of A⃗ ? C.What is the y component of B⃗ ? D.What is the x component of C⃗ ? E. In ordered pair notation, write down the components of vector B⃗  F. In ordered pair notation, write down the components of vector D G.What is true about B⃗  and D⃗ ? They have different components and are not the same vectors. They have the same components but are not the same vectors. They are the same vectors.