1) Given , < 2,4>, w= < -1,-3> a) Find u+v geometrically and algebraically b) Find...

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1) Given <3,1>, < 2,4>, w= < -1,-3> a) Find u+v geometrically and algebraically b) Find 2u - 3w c) | d) Find a unit vector for vector v: e) Find a vector in the direction of v with a length of 10 2. Find the velocity v of an ocean firefighter that is traveling northeast (45 east of north) at 40 km/hr. 3. Calculate proj u and scaly u for u= <10, 5> and v = <2, 6> 4. A constant force F = <40, 30> (in newtons) is used to move a sled horizontally 10 meters. Calculate the work done. 1) Given <3,1>, < 2,4>, w= < -1,-3> a) Find u+v geometrically and algebraically b) Find 2u - 3w c) | d) Find a unit vector for vector v: e) Find a vector in the direction of v with a length of 10 2. Find the velocity v of an ocean firefighter that is traveling northeast (45 east of north) at 40 km/hr. 3. Calculate proj u and scaly u for u= <10, 5> and v = <2, 6> 4. A constant force F = <40, 30> (in newtons) is used to move a sled horizontally 10 meters. Calculate the work done.