Skip to content
Philoid
Browse Saved
Back to chapter
10. Vector Algebra
Home · Class 12 · · Mathematics - Exemplar · 10. Vector Algebra
Prev
Next
Q9 of 46 Page 215

Find the angle between the vectors and

Let the vectors be and , such that



We know that angle between two vectors, here, and is given by,




Here,







Since, and .


So,







Thus, required angle is .


More from this chapter

All 46 →
7

A vector vector i has magnitude 14 and direction ratios 2, 3, –6. Find the direction cosines and components of vector i, given that vector i makes an acute angle with x-axis.

8

Find a vector of magnitude 6, which is perpendicular to both the vectors 2 i - j+2 k and 4 i - j+3 k

10

If vector a + vector b + vector c = 0, show that vector a x vector b = vector b x vector c = vector c x vector a. Interpret the result geometrically?

11

Find the sine of the angle between the vectors and

Questions · 46
10. Vector Algebra
1 2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 1 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved