Home
Class 12
MATHS
Statement-I The number of vectors of uni...

Statement-I The number of vectors of unit length and perpendicular to both the vectors `hat(i)+hat(j) and hat(j)+hat(k)` is zero.
Statement-II a and b are two non-zero and non-parallel vectors it is true that `axxb` is perpendicular to the plane containing a and b

A

Both Statement-I and Statement-II are correct and Statement-II is the correct explanation of Statement-I

B

Both Statement-I and Statement-II are correct but Statement-II is not the correct explanation of Statement-I

C

Statement-I is correct but Statement-II is incorrect

D

Statement-II is correct but Statement-I is incorrect

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|21 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|16 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|36 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

What is the vector perpendicular to both the vectors hat(i)-hat(j) and hat(i) ?

What is the vector perpendicular to both the vector hat(i) - hat(j) and hat(i) ?

Write the number of vectors of unit length perpendicular to both the vectors vec a=2hat i+hat j+2hat k and vec b=hat j+hat k

Find a unit vector perpendicular to the vectors hat(j) + 2 hat(k) & hat(i) + hat(j)

Find a vector of magnitude 15, which is perpendicular to both the vectors (4hat(i) -hat(j)+8hat(k)) and (-hat(j)+hat(k)).

Find a unit vector perpendicular to both the vectors (2hat(i)+3hat(j)+hat(k)) and (hat(i)-hat(j)-2hat(k)) .

What is vector of unit length orthogonal to both the vectors hat(i) + hat(j) + hat(k) and 2hat(i) + 3hat(j) - hat(k) ?

Find a unit vector perpendicular to both the vectors hat i-2hat j+3hat k and hat i+2hat j-hat k

What is a vector of unit length orthogonal to both the vectors hat(i) + hat(j) + hat(k) and 2 hat(i) + 3 hat(j) - hat(k) ?

Find a unit vector perpendicular to each of the vectors hat(i)+2hat(j)-3hat(k) and hat(i)-2hat(j)+hat(k) .