Find u x v. u = j + 3k, v = 7i - k Show that u x v is orthogonal to both u and v. (u x v) · u = (u x v) · v =

Q: 23. Evaluate (x8(x² - 2x - 3)dx A)1 BIO C)-I D12 E)-2 24. For a constant vector E, find the constant…

A: Let us solve above problem.

Q: Find u v. u = i - 9j v = -4i + j u v =

A: We can solve this as follows:

Q: Find the cross product i x v where i = 2i +2j -3k and i = (- 8, – 6, 3). i x ở =

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Q: The vector ₹ = −a + 2a expressed in RCS and in terms of þ is

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Q: Find u × v and show that it is orthogonal to both u and v. u = v =

A: Given u→=-1,0,7v→=8,-4,0

Q: Find u x v, v x u, and v x v. u=i-j-k, u x V (a) (b) (c) V x u VX V v = 5i + 5j + 5k

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Q: Find u v. u = 7i – 2j v = i - j V U V =

A: We have to find the dot product of given 2 vectors.

Q: If u = -i + 4j - 7k and v = 5i - 2j - 9k calculate the product of u . v  u . v =

A: Use the dot product for finding the product of vector .

Q: 4. a) b) Let x = 27 + 3j - k, y = i- j + 4k and Z = −3ỉ + ]. Express the vector x – ỷ – 3ž in terms…

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Q: Let z = 2i and w=3-i. Locate the numbers 2z+w, z-3w vectorially.

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Q: Let u = 2i - j, v = 4i + j, and w = i + 5j. Find specified scalar u . v + u . w.

A: We will apply dot product of vectors.