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Consider the displacement vectors Ā=(i +6j)m, B = (3i– 7j)m, If A-B-4D=0, what are the components of D? (Dx = ?, and Dy = ?)
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Consider the displacement vectors Ā=(i +6j)m, B = (3i– 7j)m,

If A-B-4D=0, what are the components of D? (Dx = ?, and Dy = ?)

User Omar Aflak
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1 Answer

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Answer:

Dx = -0.5

Dy = -0.25

Step-by-step explanation:

Two vectors are given in rectangular components form as follows:

A = i + 6j

B = 3i - 7j

It is also given that:

A - B - 4D = 0

so, we solve this to find D vector:

(i + 6j) - (3i - 7j) - 4D = 0

- 2i - j = 4D

D = - (2/4)i - (1/4)j

D = - (1/2)i - (1/4)j

D = - 0.5i - 0.25j

Therefore,

Dx = -0.5

Dy = -0.25

User Nelson Menezes
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4.8k points
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