Find the sum of the vectors a = i - 2 j + k, b = - 2 i + 4 j + 5 k and c = i - 6 j - 7 k .

Sum of the vectors = a + b + c = ( i - 2 j + k) + ( - 2 i + 4 j + 5 k) + ( i - 6 j - 7 k) = 0 i - 4 j - k = - 4 j - k

Vector Algebra — Class 12 Maths Solution

ncert exercise SA NCERT,Page 440,Ex.10.2,Q.No 6

Question

Find the sum of the vectors
$\vec a = \hat i - 2\hat j + \hat k,\vec b = - 2\hat i + 4\hat j + 5\hat k$ and $\vec c = \hat i - 6\hat j - 7\hat k$.

Step-by-step Solution

Sum of the vectors $= \vec a + \vec b + \vec c$
$= (\hat i - 2\hat j + \hat k) + ( - 2\hat i + 4\hat j + 5\hat k) + (\hat i - 6\hat j - 7\hat k)$

$= 0\hat i - 4\hat j - \hat k = - 4\hat j - \hat k$

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Vector Algebra. Curated by Sachin Sharma. Free for all students.