Question

if a bar is equal to 2i bar+3jbar+5k bar and 5j bar-4 j bar-3k bar then find a bar.b bar and a bar×b bar?​

Answer 1

Answer:

(i) If ¯ a a¯ = 3i – j – 5k and ¯ b b¯ = i – 5j + 3k Show that ¯ a a¯ + ¯ b b¯ and a bare perpendicular. (ii) Given the position vectors of three points as A(i – j + k); B(4i + 5j + 7k) C(3i + 3j + 5k) (a) Find ¯ A B AB¯ and ¯ B C BC¯ (b) Prove that A,B and C are collinear points.Read more on Sarthaks.com - https://www.sarthaks.com/1030429/i-ifbar-a-3i-j-5k-andbar-b-i-5j-3k-show-thatbar-a-bar-b-and-a-bare-perpendicular

Explanation:

(i) If ¯ a a¯ = 3i – j – 5k and ¯ b b¯ = i – 5j + 3k Show that ¯ a a¯ + ¯ b b¯ and a bare perpendicular. (ii) Given the position vectors of three points as A(i – j + k); B(4i + 5j + 7k) C(3i + 3j + 5k) (a) Find ¯ A B AB¯ and ¯ B C BC¯ (b) Prove that A,B and C are collinear points.Read more on Sarthaks.com - https://www.sarthaks.com/1030429/i-ifbar-a-3i-j-5k-andbar-b-i-5j-3k-show-thatbar-a-bar-b-and-a-bare-perpendicular