Consider the vectors a = 6i + 7j + 6k and b = 4i − j + 8k, where i, j, and k are mutuallyperpendicular unit vectors forming a right-handed system. (a) Calculate (i) a + b. (ii) The magnitude |a| of a. (iii) The unit vector bˆ in the direction of b.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the vectors a = 6i + 7j + 6k and b = 4i − j + 8k, where i, j, and k are mutuallyperpendicular unit vectors forming a right-handed system.

(a) Calculate

(i) a + b.

(ii) The magnitude |a| of a.

(iii) The unit vector bˆ in the direction of b. 

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