NCERT Solutions for class 12 Maths | Chapter 10 - Vector Algebra
Questions
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3
If |a + b| = |a – b|, then angle between a and b is (a ≠ 0, b ≠ 0)
Answer:π/2
4
a, b, c are three vectors, such that a + b + c = 0, |a|= 1, |b|= 2, |c|= 3, then a.b + b.c + c is equal to
Answer:-7
6
If |a| = |b| = 1 and |a + b| = √3, then the value of (3a – 4b).(2a + 5b) is
Answer:−21/2
7
Let a, b and c be vectors with magnitudes 3, 4 and 5 respectively and a + b + c = 0, then the values of a.b + b.c + c.a is
Answer:-25
8
The number of vectors of unit length perpendicular to the vectors a =
and
Answer:two
10
If a, b, c are unit vectors such that a + b + c = 0, then the value of a.b + b.c + c.a is
Answer:−3/2
12
The vectors from origin to the points A and B are a =
and b =
respectively then the area of triangle OAB is
Answer:1/2 √229
13
The vectors
are the side of a ΔABC. The length of the median through A is
Answer:√33