Question

Three vectors are shown in the figure below, where
OA = 1 unit, OB = 4 unit, and OC = 3 unit. The
sum of y-components of these vectors would be


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Answer 1

Answer:

(1 +  4√2 + 3 √3)/2

Explanation:

Three vectors are shown in the figure below, where

OA = 1 unit, OB = 4 unit, and OC = 3 unit. The

sum of y-components of these vectors would be

OA = 1

OA Sin30 = 1 * (1/2) = 1/2

OB = 4

OB Sin(180 - 45) = 4Sin45 = 4/√2  = 4√2/2

OC = 3

OC Sin60 = 3 * √3/2

sum of y-components of these vectors = 1/2 + 4√2/2  + 3 √3/2

= (1/2)(1 +  4√2 + 3 √3)

= (1 +  4√2 + 3 √3)/2

Answer 2

Answer:

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Explanation:

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