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- Illustrate with an example and a diagram why a+b=6+a¯ for all vectors a and bGiven the three vectors A, B, and D, show that A - (B+D) = (A · B) + (A - D). Essay answers are limited to about 500 words (3800 characters maximum, including spaces). 3800 Character(s) remaining GABCD is a square. Express BC - BA as a single vector (a) BD (b) CA (c) AC (d) DB
- a, b and c are three vectors in the third dimension with the following properties: a × b does not equal zero. a × b = b × c = c × a. Show that a + b + c = 0. Show that a + b + c = 0.For two vectors A and B, what is the value of A x B²+ (A.B)²?Given the following vectors, A = 12a,-4ay + 10az B = 3ax +7ay - 12az a. Determine 2(A) + B? b. Determine 3|A|B|(A - B)? Answer: a. 2(A) + B = 27a, - ay + 8a, b. 3|A|B|(A - B) = 6187.6555ax - 7562.69a, + 15125.38a,
- Express EC by combinations of the vectors a, b and 7.Find the requested vector in R² where A = (-3,6), B = (8, –-6) and C = (7,4). -2AB + 7CB : help (vectors)6. Write DÉ as a linear combination of the vectors i and j a) D (9,-6) E (-7, 2) first write in component form, then write as linear combination b) D (-3, 5.7) E (6,-8.1) 10+
- Write a (0, 3, 0) as the sum of two vectors, one parallel and one perpendicular to 6 If a 18 1 = = = ả tải, then: (0,4,0) X = (0, 4, 3).What is the cross product of the vectors 21 + 3j + k and 6i + 9j + 3k? Explain why your answer is correct.What is î x (î × (î × (î + x)))? What is (x + ŷ) × ((& + ŷ) × )? Consider two vectors à and B. Write |Ã+ B| in terms of the length of Ā, the length of B, and the dot product of A and B.