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Post a LessonAnswered 6 days ago CBSE/Class 12/Mathematics/Vector Algebra/NCERT Solutions/Exercise 10.2
Find the values of x and y so that the vectors are equal read less
Shivani Sachdeva
The two vectors will be equal if their corresponding components are equal.
Hence, the required values of x and y are 2 and 3 respectively.
read lessAnswered 6 days ago CBSE/Class 12/Mathematics/Vector Algebra/NCERT Solutions/Exercise 10.2
Find the scalar and vector components of the vector with initial point (2, 1) and terminal point (–5, 7). read less
Shivani Sachdeva
The vector with the initial point P (2, 1) and terminal point Q (–5, 7) can be given by,
Hence, the required scalar components are –7 and 6 while the vector components are
read lessAnswered 6 days ago CBSE/Class 12/Mathematics/Vector Algebra/NCERT Solutions/Exercise 10.2
Shivani Sachdeva
The given vectors are.
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Answered 6 days ago CBSE/Class 12/Mathematics/Vector Algebra/NCERT Solutions/Exercise 10.2
Shivani Sachdeva
The unit vector in the direction of vector is given by.
read lessAnswered 6 days ago CBSE/Class 12/Mathematics/Vector Algebra/NCERT Solutions/Exercise 10.2
Find the unit vector in the direction of vector, where P and Q are the points
(1, 2, 3) and (4, 5, 6), respectively. read less
Shivani Sachdeva
The given points are P (1, 2, 3) and Q (4, 5, 6).
Hence, the unit vector in the direction of is
.
read lessAnswered 6 days ago CBSE/Class 12/Mathematics/Vector Algebra/NCERT Solutions/Exercise 10.2
Shivani Sachdeva
The given vectors are and.
Hence, the unit vector in the direction of is
(a→+b→)???a→+b→???=iˆ+kˆ2√=12√i?+12√k?.a→+b→a→+b→=i^+k^2=12i?+12k?.
Answered 6 days ago CBSE/Class 12/Mathematics/Vector Algebra/NCERT Solutions/Exercise 10.2
Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are respectively, in the ration 2:1
(i) internally
(ii) externally read less
Shivani Sachdeva
The position vector of point R dividing the line segment joining two points
P and Q in the ratio m: n is given by:
Internally:
Externally:
Position vectors of P and Q are given as:
(i) The position vector of point R which divides the line joining two points P and Q internally in the ratio 2:1 is given by,
(ii) The position vector of point R which divides the line joining two points P and Q externally in the ratio 2:1 is given by,
read lessAnswered 6 days ago CBSE/Class 12/Mathematics/Vector Algebra/NCERT Solutions/Exercise 10.2
Find the position vector of the mid point of the vector joining the points P (2, 3, 4) and Q (4, 1, – 2). read less
Shivani Sachdeva
The position vector of mid-point R of the vector joining points P (2, 3, 4) and Q (4, 1, – 2) is given by,
read lessAnswered 6 days ago CBSE/Class 12/Mathematics/Vector Algebra/NCERT Solutions/Exercise 10.2
Show that the points A, B and C with position vectors,, respectively form the vertices of a right angled triangle. read less
Shivani Sachdeva
Position vectors of points A, B, and C are respectively given as:
???AB−→−???2+???CA−→−???2=35+6=41=???BC−→−???2AB→2+CA→2=35+6=41=BC→2
Hence, ABC is a right-angled triangle.
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Answered 6 days ago CBSE/Class 12/Mathematics/Vector Algebra/NCERT Solutions/Exercise 10.2
In triangle ABC which of the following is not true:
A.
B.
C.
D. read less
Shivani Sachdeva
On applying the triangle law of addition in the given triangle, we have:
From equations (1) and (3), we have:
Hence, the equation given in alternative C is incorrect.
The correct answer is C.
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