Consider the two vectors A^vector = i^Hat - j^Hat and B^Hat = -i^Hat - 6 j. (a)
ID: 1655087 • Letter: C
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