Which of the following is/are correct regarding vectors A→=i^+j^ and B→=2i^−3j^ ?
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
Angle between A→and B→ is acute
b
Angle between A→ + B→ and A→ is acute
c
k^ is a unit vector perpendicular to A→.
d
i^−j^2is a unit vector perpendicular to A→.
answer is B.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
(a) A→⋅B→=2−3=−1⇒ angle between A→ and B→>90∘(b) (A→+B→)⋅A→=(3i^−2j^)⋅(i^+j^)=3−2=1 ⇒ Option (b) is correct (c) k^ is ⊥ to all vectors in x−y plane (d) (i^+j^)⋅i^−j^2=0Therefore it is perpendicular to A→