Question: Given v = (-2, -3) , 7 = (5, -1) , w = (-4, 1,0) , a = (2, -6, -1) , and b =

Given v = (-2, -3) , 7 = (5, -1) , w = (-4, 1,0) , a = (2, -6, -1) , and b = (5, -3, 4), find the following: 1. Find u + v 2. Find w . b 3. Find the unit vector of a and prove that it is a unit vector. 4. Does | |u + vl| = llu]| + |~|? Prove or disprove. 5. Find |161| 6. Find the angle between 7 and7. Find a vector m such that | |m| | = 4 and m is parallel to w. 8. Determine if vectors a and b are perpendicular. 9. Find proju(a). 10. Find the vector component of a orthogonal to w

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