solve with computer no handwrite Exercise 5:Consider the displacement vector Ã = (31 +3ĵ) m, B = (î - 5ĵ) m, and C = (-1 + 4ĵ) m. Usethe component method to determine:(a) D=A+B-C(b) The magnitude and direction of D(c) Find D C and the angle between D and C.

Given:- The displacement vector A→=3i^+3j^ m B→=i^-5j^ m C→=-i^+4j^ m Find:- a ) D→=…

Answered: Exercise 5: Consider the displacement…

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Chapter1: Units, Trigonometry. And Vectors

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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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solve with computer no handwrite

Exercise 5:
Consider the displacement vector Ã = (31 +3ĵ) m, B = (î - 5ĵ) m, and C = (-1 + 4ĵ) m. Use
the component method to determine:
(a) D=A+B-C
(b) The magnitude and direction of D
(c) Find D C and the angle between D and C.

Expert Solution

Step 1

Given:-

The displacement vector $\vec{A} = (3 \hat{i} + 3 \hat{j}) m$

$\vec{B} = (\hat{i} - 5 \hat{j})$ m

$\vec{C} = (- \hat{i} + 4 \hat{j}) m$

Find:-

a ) $\vec{D} = \vec{A} + \vec{B} - \vec{C}$

b) The magnitude and direction of the vector $\vec{D}$

c) Find $\vec{D} . \vec{C}$ and the angle between the vectors D and C

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Exercise 5: Consider the displacement vector Ã = (31 +31) m, B = (Î – 5ĵ) m, and Ċ = (-i + 4ĵ) m. Use the component method to determine: (a) D=A+B-C (b) The magnitude and direction of D (c) Find D-C and the angle between D and C.