English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Find aba→⋅b→ when aijka→=i^-2j^+k^ and bijkb→=3i^-4j^-2k^ - Mathematics

Advertisements
Advertisements

Question

Find `vec"a"*vec"b"` when `vec"a" = hat"i" - 2hat"j" + hat"k"` and `vec"b" = 3hat"i" - 4hat"j" - 2hat"k"`

Sum
Advertisements

Solution

`vec"a" = hat"i" - 2hat"j" + hat"k"` and `vec"b" = 3hat"i" - 4hat"j" - 2hat"k"`

`vec"a" * vec"b" = (hat"i" - 2hat"j" + hat"k")*(3hat"i" - 4hat"j" - 2hat"k")`

= (1)(3) + (– 2)(– 4) + (1)(– 2)

= 3 + 8 – 2

= 9

shaalaa.com
  Is there an error in this question or solution?
Chapter 8: Vector Algebra - Exercise 8.3 [Page 74]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 8 Vector Algebra
Exercise 8.3 | Q 1. (i) | Page 74
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×