Home
Class 12
MATHS
Find a vector vec r of magnitude 3sqrt(...

Find a vector ` vec r` of magnitude `3sqrt(2)` units which makes an angle of `pi/4` and `pi/2` with `y` and z-axis respectively.

Text Solution

Verified by Experts

The correct Answer is:
`= pm 3hat(i)+3hat(j)`.
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (a) Short Answer Type Questions|21 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (b) Short Answer Type Questions|9 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Frequently Asked Questions (Example)|40 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Find a vector vec r of magnitude 3sqrt(3) units which makes an angle of (pi)/(4) and (pi)/(2) with y and z- axis respectively.

Find a vector vec a of magnitude 5sqrt(2) making an angle of (pi)/(4) with x -axis,(pi)/(2) with y -axis and an acute angle theta with z -axis.

Find a vector vec a of magnitude 5sqrt(2) making an angle (pi)/(4) with x -axis,(pi)/(2) with y -axis and an acute angle theta with z -axis

Two vectors ( veca and vecb ) have equal magnitudes of 12 units. These vectors are making angles 30^(@) and 120^(@) with the x-axis respectively. Their sum is vec r .Then the x and y components of r are

A line makes an obtuse angle with the positive X-axis and angle pi/4 and pi/3 with positive Y and Z-axes respectively. Its directions cosines are

Write a vector of magnitude 12 units which makes 45^(@) angle with X -axis 60^(@) angle with Y . axis and an obtuse angle with Z-axis.

IF a unit vector veca makes angles pi/4 and pi/3 with x-axis and y-axis respectively and an acute angle theta with z-axis, then find theta and the (scalar and vector) coponents of veca along the axes.