JEE & NEETJEE Mathematics

JEE Main Maths 100+ MCQ & Answer | Page-09 | JEE & NEET MCQ

81.
The summation of two unit vectors is a third unit vector, then the modulus of the difference of the unit vector is

82.
The vectors λi^+j^+2k^,i^+λj^−k^ and 2i^−j^+λk^ are coplanar if

83.
If |a| = 4 and -3 ≤ λ ≤ 2, then the range of |λa| is

84.
The number of vectors of unit length perpendicular to the vectors a = 2i^+j^+2k^ and b = j^+k^ is

85.
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

86.
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

87.
If the angle between i^+k^ and i^+j^+ak^ is π3, then the value of a is

88.
Find the magnitude of vector 3i^+2j^+12k^.

89.
Which of the following represents equal vectors?

90.
Which of the following represents collinear but not equal vectors?

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