NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.3 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.3.
|Chapter Name||Vector Algebra|
|Number of Questions Solved||18|
NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.3
Find the angle between two vectors with magnitudes √3 and 2 respectively, and such that
Angle θ between two vectors ,
Find the angle between the vectors
Let θ be the angle between ,
Find the projection of the vector , on the line represented by the vector ,
Find the projection of the vector on the vector
Show that each of the given three vectors is a unit vector Also show that they are mutually perpendicular to each other.
Evaluate the product :
Find the magnitude of two vectors having the same magnitude and such that the angle between them is 60° and their scalar product is
We know that
Find , if for a unit vector
If such that , then find the value of λ.
Show that for any two non-zero vectors
are any two non zero vectors
If , then what can be concluded about the vector ?
=> = 0
Hence b is any vector.
If are the unit vector such that , then find the value of
If either vector then . But the converse need not be true. Justify your answer with an example.
If the vertices A,B,C of a triangle ABC are (1,2,3) (-1,0,0), (0,1,2) respectively, then find ∠ABC.
Let O be the origin then.
Show that the points A (1,2,7), B (2,6,3) and C (3,10, -1) are collinear.
The position vectors of points A, B, C are
Show that the vectors and from the vertices of a right angled triangle.
The position vectors of the points A, B and C are
If is a non-zero vector of magnitude ‘a’ and λ is a non- zero scalar, then λ is unit vector if
(a) λ = 1
(b) λ = – 1
(c) a = |λ|
(d) a =
Given : is a unit vectors
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