Home
Class 12
MATHS
A vector(d) is equally inclined to three...

A vector(d) is equally inclined to three vectors `a=hat(i)-hat(j)+hat(k), b=2hat(i)+hat(j) and c=3hat(j)-2hat(k)`. Let x, y, z be three vectors in the plane a, b:b, c:c, a respectively, then

A

`x*d=14`

B

`y*d=3`

C

`z*d=0`

D

`r*d=0,` where `r=lambdax+muy+deltaz`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|21 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|73 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

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

If a=hat(i)+2hat(j)-2hat(k), b=2hat(i)-hat(j)+hat(k) and c=hat(i)+3hat(j)-hat(k) , then atimes(btimesc) is equal to

Knowledge Check

  • A vector equally inclined to the vectors hat(i)-hat(j)+hat(k) and hat(i)+hat(j)-hat(k) then the plane containing them is

    A
    `(hat(i)+hat(j)-hat(k))/(sqrt(3))`
    B
    `hat(j)-hat(k)`
    C
    `2hat(i)`
    D
    `hat(i)`

  • The two vectors A=2hat(i)+hat(j)+3hat(k) and B=7hat(i)-5hat(j)-3hat(k) are :-

    A
    parallel
    B
    perpendicular
    C
    anti-parallel
    D
    None of these

  • Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

    A
    Parallel
    B
    Antiparallel
    C
    Perpendicular
    D
    at acute angle with each other

    • Similar Questions

    Explore conceptually related problems

    Let a=hat(i)+hat(j)+hat(k), b=hat(i)-hat(j)+hat(k) and c=hat(i)-hat(j)-hat(k) be three vectors. A vector v in the plane of a and b whose projection on c is 1/sqrt(3) , is given by

    If the vectors ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+hat(j)+chat(k) , where a, b, c are coplanar, then a+b+c-abc=

    Let a=2hat(i)-hat(j)+hat(k), b=hat(i)+2hat(j)-hat(k) and c=hat(i)+hat(j)-2hat(k) be three vectors, A vector in the plane of b and c whose projection on a is of magnitude sqrt(2/3) , is

    Given p=3hat(i)+2hat(j)+4hat(k), a=hat(i)+hat(j), b=hat(j)+hat(k), c=hat(i)+hat(k) and p=x a +y b +z c , then x, y and z are respectively

    Given p=3hat(i)+2hat(j)+4hat(k), a=hat(i)+hat(j), b=hat(j)+hat(k), c=hat(i)+hat(k) and p=x a +y b +z c , then x, y and z are respectively

    Home
    Profile