Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

three displacement vectors of a x Hw2: Units, Vectors, & M X (--) secure https//

ID: 1877446 • Letter: T

Question

three displacement vectors of a x Hw2: Units, Vectors, & M X (--) secure https//www.webassign.net/web/Student/Assignment-Responses submit?dep-194 You have 4 days left in your Cengage Unlimited subscription trial. Learm more for less with access to over 22,000 11. O-8 points SerPOPS 1 P047 MI Consider the two vectors A -i- 3j and Bi-4j (a) Calculate A+B (b) Calculate AB (c) Calculate AB (d) Calculate A B (e) Calculate the directions of A +B and A -E A B A -B I(counterclockwise from the +x axis) o (counterclockwise from the +x axis) Need Help? RMaster t 12. 5/5 points Previous Answers SerPOP5 1.00 003 Which of the following are vector quantities and which are scalar quantities? calar O Type here to search

Explanation / Answer

(A) A + B = (i - 3j) + (-i - 4j)

= (1 - 1)i + (-3-4)j

= 0 i - 7 j


(B) A - B = (i - 3j) - (-i - 4j)

= (1 + 1)i + (-3 +4)j

= 2i + j  


(c) |A + B| = sqrt(0^2 + 7^2) = 7

(d) |A - B| = sqrt(2^2 + 1^2) = sqrt(5) = 2.24  


(e) theta = 270 deg

theta = tan^-1(1/2) = 27 deg