Vector Algebra · Class 12 · CBSE · Science Mathematics
For which value of lambda are the vectors vec a=hat i+2hat j+3hat k, vec b=2hat i-hat j+hat k, and vec c=3hat i+lambdahat j+4hat k coplanar?
Practice question from Vector Algebra (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
hard · MCQ · Q-7B77E7
For which value of are the vectors , , and coplanar?
- A.
- B.
- C.Correct answer
- D.
Solution
The vectors are coplanar if their scalar triple product is zero: . Evaluating the determinant gives , hence .
More from Vector Algebra
- The vector projection of vec a=hat i+2hat j+2hat k on vec b=2hat i-hat j+2hat k is:
- Find a unit vector perpendicular to both vec a=hat i+hat j+hat k and vec b=hat i-hat j.
- Let u = î + 2ĵ − 2k̂ and v = 2î − ĵ + k̂. What is the magnitude of u + v?
- Vectors a and b are perpendicular, with |a| = 5 and |b| = 12. Find |2a − b|.
Practise more Mathematics
Sign up free for adaptive practice on this chapter, with instant feedback and hints on every question.
Start practising freeFree to start · No credit card needed