Home
Class 12
MATHS
The vector 2hat(i)+2hat(j)+3hat(k) is ro...

The vector `2hat(i)+2hat(j)+3hat(k)` is rotated about origin through an angle `theta` and becomes `2hat(i)+3hat(j)+2hat(k)` then `theta`= (A) `cos^(-1)((16)/(17))` (B) `sin^(-1)(sqrt(43)/(7))` (C) `sin^(-1)sqrt((33)/(17))` (D) `tan^(-1)(sqrt(37)/(16))`

Promotional Banner

Similar Questions

Explore conceptually related problems

The vector hat(i)+xhat(j)+3hat(k) is rotated through an angle theta and doubled in magnitude then it becomes 4hat(i)+(4x-2)hat(j)+2hat(k) . The value of x is

The vector hat i+xhat j+3hat k is rotated through an angle theta and doubled in magnitude,then it becomes 4hat i+(4x-2)*hat j+2hat k. Then value of x are -(2)/(3)(b)(1)/(3)(c)(2)/(3)(d)2

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

Show that the vectors 2hat(i)-hat(j)+hat(k) and hat(i)-3hat(j)-5hat(k) are at right angles.

the angle between the vectors 2hat i-3hat j+2hat k and hat i+5hat j+5hat k is

Projection of the vector 2hat(i) + 3hat(j) + 2hat(k) on the vector hat(i) - 2hat(j) + 3hat(k) is :

If the vectors overline(a)=hat(i)+hat(j)+hat(k), overline(b)=hat(i)-hat(j)+hat(k), overline(c)=2hat(i)+3hat(j)+mhat(k) are coplanar, then m=

Express -hat(i)-3hat(j)+4hat(k) as the linear combination of the vectors 2hat(i)+hat(j)-4hat(k) , 2hat(i)-hat(j)+3hat(k) and 3hat(i)+hat(j)-2hat(k) .

If vector hat(i)+hat(j)+hat(k), hat(i)-hat(j)+hat(k) and 2hat(i)+3hat(j)+lambda hat(k) are coplanar, then lambda is equal to