Let 
be a unit vector in R 3 and 
. Given that there exists a vector 
in R 3 such that 
and 
. Which of the following statements(s) is (are) correct?
lies in the xy-plane then 
lies in the xz-plane then 
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(b,c)
Sol. 
|v| sin θ = 1 θ is angle between 
Also 
sin θ cos α = 1 α is angle between 
& 
1.1(a) cos α = 1 ⇒ 
⇒ 
where λ > 0
= 
(u 2 v z – u 3 v y ) 
+ (u 3 v x – u 1 v z ) 
+ (u 1 v y – u 2 v x ) 
= 
is a vector such that 
is parallel to 
.
u 3 = 0 ⇒ u 2 v z = 
& –u 1 v z = 
⇒ 
|u 1 | = 2|u 3 | ( u 2 = 0)
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems