Find the direction ration of the vector joining the point p(2,3,0)& Q(-1,-2,-3) direction from p to Q Related: NCERT Solutions, Vector Algebra, Class 12, Maths

Question

Find the direction ration of the vector joining the point p(2,3,0)& Q(-1,-2,-3) direction from p to Q Related:  NCERT Solutions, Vector Algebra, Class 12, Maths

Answer

To find the direction ratios of a vector, we need to consider the difference between the coordinates of two points.

Let's take a second point, Q(x, y, z), and find the vector joining P(2, 3, 0) and Q.

The vector joining two points is given by subtracting the coordinates of the initial point from the coordinates of the final point. In this case, the vector joining P and Q is:

V = Q - P = (x - 2, y - 3, z - 0)

The direction ratios of a vector are the coefficients of the variables in its components. In this case, the direction ratios of the vector V are:

Direction ratio in the x-direction: x - 2
Direction ratio in the y-direction: y - 3
Direction ratio in the z-direction: z - 0

So, the direction ratios of the vector joining P(2, 3, 0) and Q(x, y, z) are (x - 2, y - 3, z - 0).

Answer

Direction ratios are (-3,-5,-3)

Similar Class 12 Doubts

show that the points A(_1,4,_3),B(3,2,_5) C(_3,8,_5) andD(_3,2,1) are coplanar Related: NCERT Solutions, Vector Algebra, Class 12, Maths

Find a vector perpendicular to each of the vectors a=2i^+j^+3k^, b=3i^+5j^_2k^, which has magnitude 10 units. Related: NCERT Solutions, Vector Algebra, Class 12, Maths

if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 , then find the value of 2 to the power x Related: Position Vector - Vector Algebra, Math, Class 12?

Needed a Video for principal? Related: Chapter 7 - Boolean Algebra, Chapter Notes, Class 12, Computer Science

Laws of boolean algebra Related: Chapter 7 - Boolean Algebra, Chapter Notes, Class 12, Computer Science

Top Courses for Class 12

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams