Consider the two vectors A^vector = i^Hat - j^Hat and B^Hat = -i^Hat - 6 j. (a)

Question

Consider the two vectors A^vector = i^Hat - j^Hat and B^Hat = -i^Hat - 6 j. (a) Calculate A^vector + B^vector ___0___ i^Hat + ___-7___ j^Hat (b) Calculate A^vector - B^vector __0__ the value of y-component to x-component which is incorrect. i^Hat + ___5___ j^Hat (c) Calculate |A^vector + A^vector| ___7____ (d) Calculate |A^vector - A^vector| ___5___ The magnitude is determined from the Pythagorean theorem. (e) Calculate the directions of A^vector + B^vector and A^vector - B^vector. A^vector + B^vector 270 degree (counterclockwise from the +x axis) A^vector - B^vector 180 180 Draw a careful picture of this vector and then check your trigonometry definitions.degrees (counterclockwise from the x axis)

Explanation / Answer

here,

A = i - j

B = - i - 6 j

a)

A + B = - 7 j

b)

A - B = 2 i + 5 j

c)

|A + B| = 7

d)

|A - B| = sqrt(2^2 + 5^2)

|A - B| = 5.39 units

e)

direction for (A + B) = 270 degree countercloskwise from +x axis

f)

direction for (A - B) = arctan(5/2) = 68.2 degree

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