The vectors a , b and c are of the same length. If taken pairwise, they form equal angles. If a = i + j and b = j + k , then what can c be equal to? A. i + k B. - i +4 j - k 3 Select the correct answer using the code given below.

Step-by-step solution

Given that, a = i + j , b = j + k Since, a , b , c has same length. | a |=| b |=| c |= 1+1 = 2 Let be the angle between the vectors. = a b | a || b | = 0+1+0 2 2 = 1 2 All the conditions are satisfied, so it can be vector c (I) Take c = i + k | c |= 1+1 = 2 and = a c | a || c | = 1+0+0 2 2 = 1 2 All c the conditions are satisfied. So, it can be vector. (II) Take c = i +4 j - k 3 | c |= 1 3 1+16+1 = 3 2 3 = 2 and = a c | a || c | = -1 3 + 4 3 2 2 = 1 2 All the conditions are satisfied, so it can be vector c