1. Given ā = 31 -9j and b = -6i +j compute each of the following. (a) 105 (b) 14ã + 205 3

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Chapter2: Second-order Linear Odes
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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.
Transcribed Image Text: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.
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