Verify that the two expressions are equal using the followi vectors Á = az + 2a, + 3a,, B = ax – ay + a, and C = -ax 2ay + az. Ã×(Bxč) = B(à · Ĉ) – Č(à · E) ANS 8ax- IDay + 403

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A: We have to write EC vector in terms of a,b and c

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A: Dot product

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A:

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A:

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A:

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A: Solution as given below:

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A:

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A:

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A: To find out the correct option.

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A:

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A: The answer is given below:

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A:

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: False

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A:

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A: Use Cross product of vector

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A:

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A:

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A: Given, a→ and b→ are vectors such that a→× b→=(1, 0, 2).

Q: 2. If A = 2a, + 0.3a, – 1.5a, and B = 10a, + 1.5a, - 7.5a,, Show that A and B are dependent vectors.

A: The solution is given as

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A:

Q: 9. Show that for any real numbers a and b the vectors u = ai and v = bj are orthogonal?

A: Topic:-  vector algebra

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A:

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A: Explained below

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A:

Q: 2. Given the vectors à = (a₁, a₂, a3) and b=(b₁,b₂, b3) show that a × b = -b xã.

A:

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Q: Determine whether the following three vectors lie on the same line in R?: и, 3 (4,6,8), и, %3 (2,3,…

A: The given vectors lie on the same line. u2=2,3,4u1=4,6,8=2×2,2×3,2×4=2×2,3,4=2u2So, u1=2u2Thus,…

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A: It is given that,