Adding Vectors by Components Video Lessons

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Problem: Consider two vectors A and B. expressed in unit vector notation as A = a1i + a2j and B = b1i + b2j.Part (a). Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above.Part (b). Enter an expression for the difference vector A - B in terms of quantities shown in the expressions abovePart (c). Enter an expression for the square of the magnitude of the sum vector | A + B | in terms of quantities shown in the expressions above.

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In this problem, we'll perform vector addition and subtraction and determine vector magnitude. 

2D vector Magnitude:

|A|=Ax2+Ay2

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Problem Details

Consider two vectors A and B. expressed in unit vector notation as A = a1i + a2j and B = b1i + b2j.

Part (a). Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above.

Part (b). Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above

Part (c). Enter an expression for the square of the magnitude of the sum vector | A + B | in terms of quantities shown in the expressions above.

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