Home
Class 12
MATHS
Find the value of x for which x( hat i+...

Find the value of x for which `x( hat i+ hat j+ hat k)`is a unit vector.

Text Solution

Verified by Experts

The correct Answer is:
`pm (1)/(sqrt(3))`.
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise COMPETITION FILE|16 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Find the values of 'x' for which x(hat(i)+hat(j)+hat(k)) is a unit vector.

Find the value of a for which the vector 3 hat i + 3 hat j + 9 hat k and hat i + a hat j + 3 hat k are parallel.

The vector (hat i +hat j) is a unit vector.

For what value of p, is (hat i+hat j+hat k)p a unit vector?

The position vector of a point is R =x hat i +y hat j + z hat k and another vector is A =3 hat i +2 hat j + 5hat k .Which of the mathematical relations is correct ?

Find the value of x and y if the vectors vec a=3hat i+xhat j-hat k and vec b=2hat i+hat j+yhat k are mutually perpendicular vectors of equal magnitude.

Find the values of a for which are vectors vecalpha= hat i+2 hat j+ hat k , vecbeta=a hat i+ hat j+2 hat k\ a n d\ vecgamma= hat i+2 hat j+a hat k are coplanar. \

What is the value of lamda for which the vectors hat(i) - hat(j) + hat(k), 2hat(i) + hat(j)- hat(k) and lamda hat(i) - hat(j)+ lamda (k) are coplanar

Find the values of x and y if the vectors vec a=3hat i+xhat j-hat k and vec b=2hat i+hat j+yhat k are mutually perpendicular vectors of equal magnitude.

Find the value of lambda for which the four points with position vectors (-hat(j)+hat(k)), (2hat(i)-hat(j)-hat(k)), (hat(i)+lambda hat(j)+hat(k))and (3hat(j)+3hat(k)) are coplanar.