(iii) The unit vector 6 in the direction of b. (iv) The scalar product a - b.

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Author:Robert L. Boylestad
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Consider the vectors a = 6i +2j + 9k and b = 7i - 6j - 6k, where i, j, and k are mutually-
perpendicular unit vectors forming a right-handed system.
(a) Calculate
(i) a + b.
(ii) The magnitude la of a.
(iii) The unit vector 6 in the direction of b.
(iv) The scalar product a . b.
(v) The vector product a x b.
(vi) The direction cosines of a.
(vii) The angle between a and b, expressed in degrees to two decimal places.
Transcribed Image Text:Consider the vectors a = 6i +2j + 9k and b = 7i - 6j - 6k, where i, j, and k are mutually- perpendicular unit vectors forming a right-handed system. (a) Calculate (i) a + b. (ii) The magnitude la of a. (iii) The unit vector 6 in the direction of b. (iv) The scalar product a . b. (v) The vector product a x b. (vi) The direction cosines of a. (vii) The angle between a and b, expressed in degrees to two decimal places.
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