Home
Class 12
MATHS
The vector r = a xx(b xxc) is...

The vector `r = a xx(b xxc)` is

A

coplanar with a and b

B

coplanar with b and c

C

perpendicular to a

D

perpendicular to c

Text Solution

Verified by Experts

The correct Answer is:
B, C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (3) (TRUE AND FALSE) |3 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (3) (FILL IN THE BLANKS) |8 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

The vector r = a xx [ a xx { a xx a xx (a xx b)}] where |a| = 2, |b| =5 ,and a bot b forms an orthonormal system of vectors with a and b.

Show that the vectors a xx(b xx c),b xx(c xx a) and c xx(a xx b) are coplanar

Knowledge Check

  • If a = 1,2,4, b =2,-3,-1, c=1,4-4 , then the vector a xx(b xxc) is orthogonal to

    A
    a
    B
    b
    C
    c
    D
    `a+b+c`

  • If a and b are unit vectors then the vector (a + b) xx (a xx b) is parallel to the vector

    A
    a-b
    B
    a+b
    C
    2a-b
    D
    2a+b

  • If a is perpendicular to b , then the vector a xx { a xx (a xx b) } is equal to

    A
    `abs(a^2)b`
    B
    `abs(a)b`
    C
    `abs(a^3)b`
    D
    `abs(a^4)b`

    • Similar Questions

    Explore conceptually related problems

    For any three vectors a,b,c the value of a xx(b xx c)+b xx(c xx a)+c xx(a xx b) is

    Volume of parallelopiped determined by vectors vec a,vec b and vec c is 2. Then the volume of the parallelopiped determined by vectors 2(a xx b),3(b xx c) and (c xx a) is

    For any three vectors a,b,c , a xx (b+c) + b xx (c+a) + c xx (a + b) Is equal to

    Vector (b xx c) xx (c xx a) is a vector

    The vector vec(a) xx (vec(b)xx vec(a)) is coplanar with :

    Home
    Profile