Thanks Find the scalar and vector projections of b onto a. a = 2i - j + 4k, b =

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Find the scalar and vector projections of b onto a. a = 2i - j + 4k, b = j + 1/2k compab = projab = Need Help? A tow truck drags a stalled car along a road. The chain makes an angle of 30 degree with the road and the tension in the chain is 1800 N. How much work is done by the truck in pulling the car 1 km? A boat sails south with the help of a wind blowing in the direction S36 degree E with magnitude 300 lb. Find the work done by the wind as the boat moves 110 ft. (Round your answer to the nearest whole number.) ft-lb

Explanation / Answer

(a) Scalar projection = compab = a.b / magnitude of a

= (2i -j +4k).(j + k/2) / (21)^1/2

= 2/(21)^1/2

= 0.4364

a = (2i -j +4k)

Unit vector of a = a/magnitude of a = (2i -j +4k) / (21)^1/2

Vector projection = projab = magnitude of comp *( unit vector of a)

= 2/(21)^1/2*[ (2i -j +4k)/(21)^1/2 ]

= [ 4i - 2j + 8k ] / 21

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