Home
Class 12
MATHS
Let vec(a)=hat(i)+2hat(j)+hat(k),vec(b)=...

Let `vec(a)=hat(i)+2hat(j)+hat(k),vec(b)=hat(i)-hat(j)+hat(k)andvec(c)=hat(i)-hat(j)-hat(k).` A vector in the plane of `vec(a)andvec(b)` whose projection on `vec(c)" is "(1)/(sqrt(3)),` is

A

`4hat(i)-hat(j)+4hat(k)`

B

`3hat(i)+hat(j)-3hat(k)`

C

`2hat(i)+hat(j)-2hat(k)`

D

`4hat(i)+hat(j)-4hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MTG-WBJEE|Exercise WB JEE WORKOUT (One or More than One Option Correct Type) (2 Mark)|15 Videos

  • VECTOR ALGEBRA

    MTG-WBJEE|Exercise WB JEE previous Years Questions (Single Option Correct Type) (1 mark)|9 Videos

  • VECTOR ALGEBRA

    MTG-WBJEE|Exercise WB JEE previous Years Questions (Single Option Correct Type) (1 mark)|9 Videos

  • TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (CATEGORY 2 : Single Option Correct Type (2 Mark))|3 Videos

Similar Questions

Explore conceptually related problems

vec a=hat i+hat j+hat k,vec b=hat i-hat j+hat k and vec c=hat i-hat j-hat k be threevectors.A vector in the plane of vec a and vec b whose projectionon vec c is (1)/(sqrt(3)), is given by

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

If vectors vec(a)=hat(i)-2hat(j)+hat(k), vec(b)=-2hat(i)+4hat(j)+5hat(k) and vec(c )=hat(i)-6hat(j)-7hat(k) , then find the value of |vec(a)+vec(b)+vec(c )| .

If vec(a)=2hat(i)+3hat(j)+hat(k), vec(b)=hat(i)-2hat(j)+hat(k) and vec(c )=-3hat(i)+hat(j)+2hat(k) , find [vec(a)vec(b)vec(c )] .

Let vec(a) = hat(i) + hat(j) + hat(k),vec(b) = hat(i) - hat(j) + 2hat(k) and vec(c) = xhat(i) + (x-2)hat(j) - hat(k) . If the vector vec(c) lies in the plane of vec(a) and vec(b) then x equals

Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec c= hat i+ hat j- hat kdot A vector in the plane of vec a and vec b whose projection of c is 1//sqrt(3) is a. 4 hat i- hat j+4 hat k b. 3 hat i+ hat j+3 hat k c. 2 hat i+ hat j+2 hat k d. 4 hat i+ hat j-4 hat k

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

Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) = hat(i) - hat(j) + 2hat(k) and vec(c) = xhat(i) + (x-2)hat(j) - hat(k) . If the vector vec(c) lies in the plane of vec(a) & vec(b) , then x equals