Write down a unit vector in XY-plane, ma...

Write down a unit vector in XY-plane, making an angle of `30^o` with the positive direction of x-axis.

Topper's Solved these Questions

VECTORS
PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos
THREE DIMENSIONAL GEOMETRY
PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

Write all the unit vectors in XY-plane.

In the following , find the equation of the line which satisfy the given conditions: Intersecting the y-axis at a distance of 2 units above the origin and making an angle of 30^@ with positive direction of the x-axis.

Find the equation of a line through the origin, which makes an angle of 45^@ with the positive direction of x-axis.

Find the equation of a st. line, which passes through the point (-2,3) and makes an angle of 60^@ with the positive direction of x-axis.

Find the equation of the straight line bisecting the segment joining the points (5, 3) and (4,4) and making an angle of 45^@ with the positive direction of X-axis.

Find the slope of the line, which makes an angle of 30^@ with the positive direction of y-axis measured anticlockwise.

Find the slope of the line, which makes an angle of 30^@ with the positive direction of y-axis, measured anticlockwise.

A line through the point A (2, 0), which makes an angle of 30^@ with the positive direction of x-axis is rotated about A in clockwise direction through an angle 15^@ . Then the equation of the straight line in the new position is :

PRADEEP PUBLICATION-VECTORS-EXERCISE

Find 'x' such that the four points : A(3,2,1),B(4,x,5),C(4,2,-2) and D...
Text Solution
|
If a,b and c are coplanar show "[a+b b+c c+a]" are coplanar.
Text Solution
|
Write down a unit vector in XY-plane, making an angle of 30^o with the...
Text Solution
|
Find the scalar components and magnitude of the vector joining the poi...
Text Solution
|
A girl walks 4 km towards west, then she walks 3 km in a direction 30^...
Text Solution
|
If vec a= vec b + vec c then is it true that |vec a|= |vec b|+ |vec c|...
Text Solution
|
Find the value of x for which x (hat i +hat j +hat k) is a unit vector...
Text Solution
|
Find a vector of magnitude 5 units, and parallel to the resultant of t...
Text Solution
|
If vec a= hat i+hat j+hat k , vec b = 2 hat i- hat j+3 hat k and vec c...
Text Solution
|
Show that the points A (1, - 2, - 8), B (5, 0,- 2) and C (11, 3, 7) ar...
Text Solution
|
Find the position vector of a point R which divides the line joining t...
Text Solution
|
The two adjacent sides of a parallelogram are 2 hat i-4 hat j+5 hatk a...
Text Solution
|
Show that the direction cosines of a vector equally inclined to the ax...
Text Solution
|
Let a=hat(i)+4hat(j)+2hat(k), b=3hat(i)-2hat(j)+7hat(k) and c=2hat(i)-...
Text Solution
|
The scalar product of the vectorhat i+hat j+ hatk with a unit vector a...
Text Solution
|
If vec a, vec b ,vec c are mutually perpendicular vectors of equal ma...
Text Solution
|
Prove that (vec a+vec b)* (vec a+ vec b)=|vec a|^2 +|vec b|^2, if and ...
Text Solution
|
If θ is the angle between two vectors vec a and vec b, then vec a*vec ...
Text Solution
|
Let vec a and vec b be two unit vectors and θ is the angle between the...
Text Solution
|
If (hat i, hat j, hat k) are the usual three perpendicular unit vector...
Text Solution
|