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Add 2x - 3y + z , 5y - x + 7z and 3x - ...

Add 2x - 3y + z , 5y - x + 7z and 3x - y - 6z.

Text Solution

Verified by Experts

The correct Answer is:
`4x + y + 2z`
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Add: 5x - 8y + 2z, 3z - 4y - 2x, 6y - z - x and 3x - 2z - 3y

Add the following: (i) x – 3y – 2z , 5x + 7y – 8z , 3x – 2y + 5z

Knowledge Check

  • The sum of 4x - 3y - 7z, x -y -z and - 2x- 3y+ 4z is

    A
    `3x - 7y - 4z`
    B
    `3x - y + 4z`
    C
    `3x + y - 4z`
    D
    `3x + y + 4z`
  • The equations x + 2y + 3z = 1, x − y + 4z = 0 and 2x + y + 7z = 1has

    A
    only one solution
    B
    only two solutions
    C
    no solution
    D
    infinitely many solutions
  • The system x+4y -2z = 3x + y + 5z = 7 and 2x + 3y + z = 5 has

    A
    infinite number of solutions
    B
    unique solution
    C
    trivial solution
    D
    no solution
  • Similar Questions

    Explore conceptually related problems

    Write the following in matrix form : 3x - 4y + 3z = 25 7x + 2y - 6z = 11 2x - 7y + 8z = 25

    Find the angle between the planes : (i) 3 x - 6y - 2z = 7 " " 2x + y - 2z = 5 (ii) 4 x + 8y + z = 8 " " and y + z = 4 (iii) 2 x - y + z =6 " " and x + y + 2z = 7 .

    Prove that the lines 3x + 2y + z – 5 = 0 = x + y – 2z – 3 and 2x – y – z = 0 = 7x + 10y – 8z – 15 are perpendicular

    The number of solutions of the system of equations x+y+z = 4, 2x + 5y – 2z = 3 and x + 7y – 7z = 5, is /are a)0 b)1 c)2 d)infinite

    The equation of plane through the intersection of the planes x + 2y + 3z - 4 = 0 and 2x + y - z + 5 = 0 and perpendicular to the plane 5x + 3y + 6z = 8, is