1) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 1.1., # 37 or from your Ebook in the Supplementary Exercises for Secti 11.1, #42) Find a line that lies entirely in the set defined by the equation x² + y² = z² = 1.

Advanced Engineering Mathematics
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1) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 1.1., # 37 or from your Ebook in the Supplementary Exercises for Section
11.1, #42) Find a line that lies entirely in the set defined by the equation x² + y² - z² = 1.
2) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 1.3., # 46 or from your Ebook in the Supplementary Exercises for Section
11.3, #140) Suppose v, w E R³ are orthogonal unit vectors. Let u = v × w. Show that w = u × v and v = w × u.
Transcribed Image Text:1) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 1.1., # 37 or from your Ebook in the Supplementary Exercises for Section 11.1, #42) Find a line that lies entirely in the set defined by the equation x² + y² - z² = 1. 2) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 1.3., # 46 or from your Ebook in the Supplementary Exercises for Section 11.3, #140) Suppose v, w E R³ are orthogonal unit vectors. Let u = v × w. Show that w = u × v and v = w × u.
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