The Expert TA Human-like Grading, Automated! Home 1 Student: alyssa dearman yaho

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The Expert TA Human-like Grading, Automated! Home 1 Student: alyssa dearman yahoo.com Class Management Help vectors Part 2 Begin Date: 524/20171200:00 AM-Due Date: 672017 113900 PM End Date:713/20171159.00 PM (17%) Problem 1: Consider two vectors A and B, expressed in unit vector notation as A ani al andB bii A 33% Part (a) Enter an expression for the vector sum A in terms of quantities shown in the expressions above. A 33% Part (b) Enter an expression for the difference vector A-Bin terms of quantities shown in the expressions above. D A 33% Part (c) Enter an expression for the square of the magnitude of the sum vector IA BI in terms of quantities shown in the expressions Grade Summary LA, BI ential 100% 7 8 9 Submissions Attempts remaining: 20 4 5 6 per attempt) I give up! Feedback: deduction per feedback. Hintsa deduction per hint. Hints remaining content 2017 bipert TA Lic

Explanation / Answer

1.

A = a1i + a2 j

B = b1 i + b2 j

A + B = (a1i + a2 j) + (b1 i + b2 j)

A + B = (a1 + b1) i + (a2 + b2)j

2.

A - B = (a1i + a2 j) - (b1 i + b2 j)

A - B = (a1 - b1) i + (a2 - b2)j

3.

|A + B| = |(a1 + b1) i + (a2 + b2)j|

|A + B| = sqrt ((a1 + b1)^2 + (a2 + b2)^2)

|A + B|^2 = ((a1 + b1)^2 + (a2 + b2)^2)

|A + B|^2 = a1^2 + b1^2 + 2*a1*b1 + a2^2 + b2^2 + 2*a2*b2

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