Addition and Subtraction of Vectors Class 12 OP Malhotra Exe-21A ISC Maths Solutions Ch-21. In this article you would learn about addition and subtraction of vectors in a very simple and easy way. Step by step solutions of latest textbook has been given as latest syllabus. Visit official Website CISCE for detail information about ISC Board Class-12 Mathematics.
Addition and Subtraction of Vectors Class 12 OP Malhotra Exe-21A ISC Maths Solutions Ch-21
| Board | ISC |
| Publications | S Chand |
| Subject | Maths |
| Class | 12th |
| Chapter-21 | Vectors |
| Writer | OP Malhotra |
| Exe-21(a) | Addition and Subtraction of Vectors |
Addition and Subtraction of Vectors
Class 12 OP Malhotra Exe-21A ISC Maths Solutions
Que-1: Draw a pair of directed segments AB→ and XY→ which are parallel, in the opposite sense, and equal in length. Find a directed segment which represents their sum. What can you say about
(i) its length,
(ii) its direction?
Sol: Since vector(AB) and vector(XY) are equal in length and opposite in sense
So length of this vector be 0 and direction be indeterminate.
Que-2: Simplify for triangles A B C and P Q R
(i) AB→+BA
→(ii) BC→+CA→+AB→
(iii) PQ→+RP→+QR→
Sol: (i) AB→+BA
→ = AB→–BA
→ = 0→
(ii) By δ law of sum of vectors, we have
Que-3: In Fig. given below the various line segments are taken to be representatives of vectors. Find from the figure a single representative of each of the following sums :
(i) AE→ + EC→
(ii) DB→ + BE→
(iii) AD→ + DB→ + BC→
(iv) CB→ + BE→ + EA→ + AD→
Sol:
Que-4: In Fig. given below, simplify :
(i) DE→ +(-BE→)
(ii) AC→ + (-BC→)
(iii) CD→ + BA→(-BD→)
Sol:
Que-5: In Fig. simplify:
(i) AC→ – AB→
(ii) BA→ – BC→
(iii) BC→ – BA→
(iv) CA→ – CB→
(v) CB→ – CA→
Sol:
Que-6: In Fig. given below, EFGH is a parallelogram. Simplify :
(i) EF→ + EH→
(ii) EF→ – EH→
(iii) EH→ – EF→
(iv) FG→ + FE→
(v) FG→ – FE→
(vi) FE→ – FG→
(vii) GE→ – GH→
(viii) HG→ – HE→
Sol:
–: End of Addition and Subtraction of Vectors Class 12 OP Malhotra Exe-21A ISC Maths :–
Return to :- OP Malhotra ISC Class-12 S Chand Publication Maths Solutions
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