Determine which pairs of
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- Express the vectors in Exercises 9–12 in terms of their lengths and directions.arrow_forwardAre the vectors –2 – 8x + 4x2, – 4 – 12x – 20x? and -4 – 14x – 6x? linearly independent? choose If the vectors are independent, enter zero in every answer blank since zeros are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. 0 = (-2 – 8x + 4x?)+ (-4 — 12г — 20г?)+ (-4 — 14г — ба?).arrow_forwardExpress the vectors in Exercises 9–10 in terms of their lengths and directions. 9. 22i + 22j 10. -i - jarrow_forward
- Section 5-2 : Vector Arithmetic 1. Given ā = 31 -9j and b = -6i +j compute each of the following. (a) 105 (b) 14ã + 205 (c) 8b – 3 2. Find a unit vector that points in the same direction as a = (10,-3,8,-2). 3. Find a unit vector that points in the opposite direction as č = 2i +7j - 5k . 4. Find a vector that points in the opposite direction as ā = (-3,–14,2) with a magnitude of 32. 5. Determine if i = (1,0,-4) and w= (9,3,1) are parallel vectors.arrow_forward5. Vectorsarrow_forwardPart b L Let U₁ = 1 + x + 4x², U₂ = 2x + 5x², U3 = 2 + x + 7x². Determine whether these three vectors are linearly independent or not.arrow_forward
- In Exercises 25–30, express each vector as a product of its length and direction. 25. 2i + j - 2k 26. 9i – 2j + 6k 27. 5k 28. i + k 29. V6 30. V3 -i V6 V3 V3arrow_forward4. Subtract the vectors shown. (blue - green)arrow_forwardIn Exercises 25–30, express each vector as a product of its length and direction. 25. 2i + j - 2k 26. 9i – 2j + 6k 3 4 27. 5k 28. i + k 5 j i 30. V3 k 29. i V6 V6 k V6 V3 V3arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage