Consider the vector A with components A_x = -6.00, A_y = 6.00, the vector B with

Question

Consider the vector A with components A_x = -6.00, A_y = 6.00, the vector B with components B_x = 3.00, B_y = -5.00, and the vector D = A - B. Calculate the magnitude of the vector D. (Express your answer to three significant figures.) You currently have 3 submissions for this question. Only 4 submission are allowed. You can make 1 more submissions for this question. Calculate the angle with the +x axis of the vector D. (Express your answer to three significant figures.) You currently have 0 submissions for this question. Only 4 submission are allowed. You can make 4 more submissions for this question.

Explanation / Answer

Here, vector A = -6i + 6j

and vector B = 3i - 5j

Now, vector D = -6i + 6j - (3i - 5j) = -9i + 11j

So, magnitude of vector D = sqrt(9^2 + 11^2) = 14.2

(2) Requisite angle with + x - axis = tan inverse(11 / -9) = -50.7 degree. or 360 - 50.7 = 309.3 degree.

So, angle from + x-axis = 309.3 degree.

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