CBSE Class 12 Maths 2024-25: Chapter 10 Vector Algebra Competency-Based Questions with Answers; Download Free PDF

As the CBSE Class 12 board exams get closer, students need to understand the new exam pattern. Starting in the 2024-25 school year, CBSE will include 50% more competency-based questions. These questions will be both multiple choice and written, focusing on how to use what students have learned in real-life situations.

This article explores Chapter 10 Vector Algebra highlights key competency-based questions and provides answers to help students succeed.

Understanding Competency-Based Questions in Chapter 10 Vector Algebra

Competency-based questions are designed to see how well students can apply their knowledge in everyday life. They can come in different forms, such as case studies, true-false questions, gap-filling tasks, and long or short answer questions.

These questions are different from regular memorization. They encourage students to think critically and solve problems, helping them understand the concepts in Chapter 10 Vector Algebra better.

CBSE Class 12 Maths Chapter 10 Vector Algebra Important Competency-Based Questions

Multiple Choice Questions :-

Q1. Observe the vector diagram given below.

Which of the following is/are equal to

1. only (i)

2. only (ii)

3. only (i) and (iii)

4. only (ii) and (iv)

Ans. 4. only (ii) and (iv)

Q2.

1. only (ii)

2. only (iii)

3. only (i) and (iii)

4. all - (i), (ii) and (iii)

Ans. 3. only (i) and (iii)

Q3.

1. 0°

2. 90°

3. 180°

4. (cannot be found without knowing the angle between the vectors v and u )

Ans. 3. 180°

Download PDF
CBSE Class 12 Maths Chapter 1: Relations and Functions Important Competency-Based Questions	Click Here
CBSE Class 12 Maths Chapter 2 : Inverse Trigonometric Functions Important Competency-Based Questions	Click Here
CBSE Class 12 Maths Chapter 3 : Matrices Important Competency-Based Questions	Click Here
CBSE Class 12 Maths Chapter 4: Determinants Important Competency-Based Questions	Click Here
CBSE Class 12 Maths Chapter 5: Continuity & Differentiability Important Competency-Based Questions	Click Here
CBSE Class 12 Maths Chapter 6: Application of Derivatives Important Competency-Based Questions	Click Here
CBSE Class 12 Maths Chapter 7: Integrals Important Competency-Based Questions	Click Here
CBSE Class 12 Maths Chapter 8: Application of Integrals Important Competency-Based Questions	Click Here
CBSE Class 12 Maths Chapter 9: Differential Equations Important Competency-Based Questions	Click Here
CBSE Class 12 Maths Chapter 10: Vector Algebra Important Competency-Based Questions	Click Here

Free Response Questions :-

Q4. The following question was given in a class test.

Who was right? Justify your answer.

Ans. Writes that Manisha was right.

Justifies the above answer as follows:

Q5.

Ans. Writes true

Q6. Two vertices of a regular pentagon are joined by a vector u (as shown below), followed by two statements. Identify if the statements are true or false. Give valid reasons for your answer.

Ans.

(i) Writes False (F). Gives the reason that all the five vectors mentioned in i) have different directions.

(ii) Writes True(T). Gives the reason that the following three vectors have the same initial point.

Q7. State whether the following statement is true or false. If true, give a reason. If false, give an example.

Two collinear vectors are always equal.

Ans. Writes false.

Gives an example:

Q8. State whether the following statement is true or false. Give a valid reason.

Ans. Writes true.

Justifies as follows:

Q9.

Ans. Writes that the projection vector will be a zero vector.

Q10.

Ans.

Deduces that cos θ = 0 and hence θ = 90°.

Concludes that PQRS is a rectangle as the sides are intersecting at 90°.

👉 CBSE Class 12 Study Materials

CBSE Class 12 Syllabus 2024-25	CBSE Class 12 Previous Year Papers
NCERT Books For Class 12 Books	NCERT Class 12 Solutions
CBSE Class 12 Full Study Material	CBSE Class 12 Sample Paper 2024-25