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TS EAMCET · Maths · Vector Algebra

If a and b are two vectors such that a=2i^+2j^+pk^,b=7,a·b=4 and a×b=517 then p=

  1. A ±5
  2. B ±6
  3. C ±1
  4. D ±3
Verified Solution

Answer & Solution

Correct Answer

(C) ±1

Step-by-step Solution

Detailed explanation

Given, a→ and b→ are two vectors such that a→=2i^+2j^+pk^, b→=7 Now given a→·b→=4 So, applying the formula we get, a→·b→=4⇒a→b→cosθ=4 ⇒8+p2×7cosθ=4 ⇒cosθ=478+p2…