Advertisements
Advertisements
Question
If `overline (a) =10hat("i") + lambda hat("j") + 2hat("k")` is perpendicular to `overline (b)= hat ("i")+hat("j")-hat("k")`, then λ is equal to ______.
Options
3
-5
7
-8
MCQ
Fill in the Blanks
Solution
If `overline (a) =10hat("i") + lambda hat("j") + 2hat("k")` is perpendicular to `overline (b)= hat ("i")+hat("j")-hat("k")`, then λ is equal to -8.
Explanation:
`overline (a) * overline (b) = 0`
`=> (10hat("i")+lambda hat("j")+2 hat("k")) * (hat("i")+hat("j")-hat("k"))=0`
⇒ 10(1) +(λ) (1) + (2) (-1) = 0
⇒ λ = -8
shaalaa.com
Algebra of Vectors
Is there an error in this question or solution?
