NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.2 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.2.
|Chapter Name||Vector Algebra|
|Number of Questions Solved||19|
NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.2
Compute the magnitude of the following vectors:
Write two different vectors having same magnitude.
Such possible answers are infinite
Write two different vectors having same direction.
Let the two vectors be
Hence vectors have the same direction but different magnitude
Find the values of x and y so that the vectors are equal.
We are given
If vectors are equal, then their respective components are equal. Hence x = 2, y = 3.
Find the scalar and vector components of the vector with initial point (2,1) and terminal point (-5,7).
LetA(2, 1) be the initial point and B(-5,7) be the terminal point
∴The vector components are and scalar components are – 7 and 6.
Find the sum of three vectors:
Find the unit vector in the direction of the vector
Find the unit vector in the direction of vector , where P and Q are the points (1,2,3) and (4,5,6) respectively.
The points P and Q are (1, 2, 3) and (4, 5, 6) respectively
For given vectors find the unit vector in the direction of the vector
Find a vector in the direction of which has magnitude 8 units.
The given vector is
Show that the vector are collinear.
vector have the same direction they are collinear.
Find the direction cosines of the vector
Now a = 1,b = 2,c = 3
Find the direction cosines of the vector joining the points A (1,2, -3) and B(-1, -2,1), directed fromAtoB.
Vector joining the points A and B is
Show that the vector are equally inclined to the axes OX, OY, OZ.
Let , Direction cosines of vector are
which shows that the vector a is equally inclined to the axes OX, OY, OZ.
Find the position vector of a point R which divides the line joining the points whose positive vector are in the ratio 2:1
(i) The point R which divides the line joining the point in the ratio m : n
Find position vector of the mid point of the vector joining the points P (2,3,4) and Q (4,1, -2).
Show that the points A, B and C with position vector respectively form the vertices of a right angled triangle.
In triangle ABC (fig.), which of the following is not
We know that
Hence option (c) is not correct
If are two collinear vectors then which of the following are incorrect:
(a) , for some scalar λ.
(c) the respective components of are proportional.
(d) both the vectors have same direction, but different magnitudes.
Options (d) is incorrect since both the vectors , being collinear, are not necessarily in the same direction. They may have opposite directions. Their magnitudes may be different.
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