Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Vector Algebra

One Word Answers

11. Classify the following measures as scalars and vectors.
distance

75 Views

12. Classify the following measures as scalars and vectors.
force

70 Views

13. Classify the following measures as scalars and vectors.
velocity

106 Views

14. Classify the following measures as scalars and vectors.
work done

73 Views

Short Answer Type

15. In figure, (a square), identify the following vectors.

(i) Coinitial
(ii) Equal
(iii) Collinear but not equal

79 Views

16. In given figure which of the vectors are:

(i) Collinear (ii) Equal (iii) Coinitial

118 Views

True Or False

17. Answer the following as true or false.

straight a with rightwards arrow on top space space and space minus straight a with rightwards arrow on top

are collinear.

Two collinear vectors are always equal in magnitude.

Two vectors having same magnitude are collinear.

77 Views

Short Answer Type

18.
If $open vertical bar straight a with rightwards arrow on top close vertical bar space equals space 3 space and space space minus space 4 space less or equal than space straight k space less or equal than space 1 comma$ then what can you say about $open vertical bar straight k space straight a with rightwards arrow on top close vertical bar$ ?

Here,    $open vertical bar straight a with rightwards arrow on top close vertical bar space equals space 3 comma space space space space minus space 4 space less or equal than space straight k space less or equal than space 1$
When k = -4,    $open vertical bar straight k space straight a with rightwards arrow on top close vertical bar space equals space open vertical bar straight k space straight a with rightwards arrow on top close vertical bar space equals space open vertical bar straight k close vertical bar space open vertical bar straight a with rightwards arrow on top close vertical bar space equals negative open vertical bar negative 4 space left enclose left parenthesis 3 end enclose right parenthesis close vertical bar space equals space 4 space cross times space 3 space equals space 12$
When k = 1,    $open vertical bar straight k space straight a with rightwards arrow on top close vertical bar space equals space open vertical bar straight k close vertical bar space open vertical bar straight a with rightwards arrow on top close vertical bar space equals space left parenthesis 1 right parenthesis thin space left parenthesis 3 right parenthesis space equals space 3$
Also,
   $open vertical bar straight k space straight a with rightwards arrow on top close vertical bar space space greater or equal than space 0 therefore space space space space space space 0 space less or equal than space open vertical bar straight k space straight a with rightwards arrow on top close vertical bar space less or equal than space 12.$