AP EAMCET202316 May 2023Evening ShiftMathematicsVector AlgebraActual

If a =-2 i +9 j -6 k and b =t i -2 j +6 k are vectors such that | a + b |=25 , then the sum of the values of t is

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Correct answer

C. 4

Step-by-step solution

Given, a =-2 i +9 j -6 k , b =t i -2 j +6 k aligned & Now, | a + b |=25 & |(t-2) i +7 j +0 k |=25 (t-2)^2+49+0^2 =25 & (t-2)^2+49=625 (t-2)^2=576 & t^2-4 t+4=576 aligned So sum of value of t=4

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