A vector Č when added to two vectors Ā=(î – 2ị + 4k) and B=(3î + 5j – 7k) gives a unit vector
along x - axis. Find the vector C.
Answers
Answer:
We are given :
A = (î - 2j + 4k) and B = (3î + 5j -7k).
Adding both : A + B = (î - 2j + 4k) + (3î + 5j - 7k)
⇒ A + B = (4î + 3j - 3k)
The unit vector along the x-axis is : î.
Hence, Required vector = C = î - (4î + 3j - 3k)
⇒ C = -3î - 3j + 3k
EXTRA INFORMATION –
What is a vector ?
A quantity which has both a magnitude and direction is called a vector.
What is unit vector ?
A unit vector is a vector of unit magnitude and points in a particular direction. It has no dimension and no unit. It specifically points in a direction only. The unit vector of x, y and z axes are î, j and k respectively.
✨ A vector C when added to the resultant of the two vectors and gives a unit vector along x-axis . Find the vector C .
- A vector C when added to the resultant of the two vectors and gives a unit vector along x-axis .
- Find the vector C .
Let, R be the resultant of vector A and vector B .
According to the question,
✍️ The sum of vector C and vector R gives a unit vector along x-axis .
☞ represents along x-axis.
☞ represents along y-axis .
☞ represents along z-axis .
Hence,
The vector C is “” .