Mathematics Part-II

Book: Mathematics Part-II

Chapter: 10. Vector Algebra

Subject: Maths - Class 12th

Q. No. 13 of Miscellaneous Exercise

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13

The scalar product of the vector a unit vector along the sum of vectors and is equal to one. Find the value of λ.

Given: given vectors are

Then sum of vector is given by the resultant of .


Let the sum is .


Then





Then magnitude of is :





Scalar product of






Square on both sides:


(λ + 6)2 = (λ)2 + 4λ + 44


(λ)2 + 12λ + 36 =(λ)2 + 4λ + 44


8λ = 8


λ = 1


13

Chapter Exercises

More Exercise Questions

4

If , then is it true that ? Justify your answer.