Home
Class 12
MATHS
Find the values of x,y and z so that vec...

Find the values of x,y and z so that vectors `veca=xhati+4hatj+zhatk` and `vecb=3hati+yhatj+hatk` are equal.

Text Solution

AI Generated Solution

To find the values of \( x \), \( y \), and \( z \) such that the vectors \( \vec{a} = x \hat{i} + 4 \hat{j} + z \hat{k} \) and \( \vec{b} = 3 \hat{i} + y \hat{j} + \hat{k} \) are equal, we can follow these steps: ### Step 1: Write down the vectors We have: \[ \vec{a} = x \hat{i} + 4 \hat{j} + z \hat{k} \] \[ ...
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise ILLUSTRATION|1 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|20 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

Find the values of x,y and z so that the vectors veca=xhati+2hatj+zhatk and vecb=2hati+yhatj+hatk are equal.

Find the values of x and y so that the vector 3hati+4hatj and xhati+yhatj are equal.

Find the angle 'theta' between the vector veca=2hati+3hatj-4hatk and vecb=3hati-2hatj+4hatk .

If veca=3hati+hatj-4hatk and vecb=6hati+5hatj-2hatk find |veca Xvecb|

Find the scalar product of vectors veca=2hati-hatj+2hatk and vecb=hati-3hatj-5hatk

The values of x for which the angle between the vectors veca =xhati - 3hatj-hatk and vecb = 2x hati + x hatj -hatk is acute, and the angle, between the vector vecb and the axis of ordinates is obtuse, are

Find the scalar and vector products of two vectors veca=(2hati-3hatj+4hatk) and vecb(hati-2hatj+3hatk) .

The angles between the two vectors vecA=3hati+4hatj+5hatk and vecB=3hati+4hatj-5hatk will be

Find the projection of the vector veca=3hati+2hatj-4hatk on the vector vecb=hati+2hatj+hatk .

The vector component of vector vecA =3hati +4hatj +5hatk along vector vecB =hati +hatj +hatk is :