Statement I If

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Statement I If

a = 2\hat{i} + \hat{k}

b = 3\hat{j} + 4\hat{k}

and

c = \lambda a + \mu b

are coplanar, then

c = 4a - b

. Statement II A set vectors

a_1, a_2, a_3, \dots, a_n

is said to be linearly independent, if every relation of the form

l_1 a_1 + l_2 a_2 + l_3 a_3 + \dots + l_n a_n = 0

implies that

l_1 = l_2 = l_3 = \dots = l_n = 0

(scalar).