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- For these vectors, calculate A-Ba. Write the vector (-4,-8, 6) as a linear combination of a₁ (1, -3, -2), a₂ = (-5,–2,5) and ẩ3 = (−1,2,3). Express your answer in terms of the named vectors. Your answer should be in the form 4ả₁ + 5ả₂ + 6ẩ3, which would be entered as 4a1 + 5a2 + 6a3. (-4,-8, 6) = -3a1+a2+2a3 b. Represent the vector (-4,-8,6) in terms of the ordered basis = {(1, −3,−2), (-5, -2,5),(-1,2,3)}. Your answer should be a vector of the general form . [(-4,-8,6)] =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.
- Find the sum and difference of the following vectors: a. <-4,6>+<5,0> b. <-7,5>0<-5,-9>Given 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 G6. 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+
- a⃗ =⟨5, −1⟩ and b⃗ =⟨−2,−2⟩. Represent a⃗ +b⃗ using the head to tail method. Use the Vector tool to draw a⃗ and b⃗ , complete the head to tail method, and draw a⃗ +b⃗ .Give the vector result of a + b + c as a sum of its i and j components. [Give an answer using the letters i and j, such as 15i+ 29 j.]please answer