JEE MATHS UNIT 12
QUIZ NO 3
TOTAL QUESTIONS = 20
1. The dot product of vectors a = 2i + 3j and b = 4i + 5j is
A. 23
B. 22
C. 26
D. 25
2. The cross product of vectors a = i + j and b = i - j is
A. -2k
B. 2k
C. 0
D. k
3. The magnitude of the vector 6i - 8j is
A. 10
B. 14
C. 12
D. 8
4. If a = 3i + 4j and b = 5i + 12j, then a and b are
A. parallel
B. perpendicular
C. unit vectors
D. collinear
5. The scalar triple product of vectors a, b, and c is
A. a · (b × c)
B. a × (b × c)
C. (a + b + c)
D. a · b + c
6. The projection of vector a = 3i + 4j on vector b = 5i + 12j is
A. 39/13
B. 33/13
C. 36/13
D. 31/13
7. If a = 2i - 3j and b = i + j, then a × b is
A. -3k
B. 3k
C. 4k
D. -4k
8. The area of a parallelogram formed by vectors a = 3i + 2j and b = 4i + 5j is
A. 7
B. 6
C. 8
D. 5
9. The direction cosines of a vector 3i + 4j are
A. 3/5, 4/5, 0
B. 4/5, 3/5, 0
C. 3/5, 4/5, 1/5
D. 4/5, 3/5, 1/5
10. The dot product of two vectors is zero if the vectors are
A. perpendicular
B. parallel
C. collinear
D. unit vectors
11. The magnitude of the cross product of vectors a = i + j and b = i - j is
A. 2
B. sqrt(2)
C. 1
D. sqrt(3)
12. If a = i - j and b = i + j, then the angle between a and b is
A. 90°
B. 45°
C. 60°
D. 30°
13. The cross product of two vectors is
A. perpendicular to both vectors
B. parallel to both vectors
C. collinear with one of the vectors
D. equal to the scalar triple product
14. The volume of a parallelepiped formed by vectors a, b, and c is given by
A. |a · (b × c)|
B. |a × b × c|
C. |a × b + c|
D. |a + b + c|
15. If a = i + j and b = i - j, then a × b is
A. 2k
B. -2k
C. 4k
D. -4k
16. The vector projection of a on b is given by
A. (a · b)b/|b|^2
B. (a × b)b/|b|^2
C. (a + b)b/|b|^2
D. (a - b)b/|b|^2
17. The scalar triple product of vectors a = 2i + j, b = i + k, and c = 3i + 2j + k is
A. 4
B. 5
C. 3
D. 6
18. The magnitude of a unit vector is always
A. 1
B. 0
C. infinite
D. undefined
19. If a = 2i + 3j + k and b = i - j + 4k, then the cross product a × b is
A. i - 13j + 7k
B. -i + 13j - 7k
C. i + 13j - 7k
D. -i - 13j + 7k
20. If the vectors a = 3i + j - 4k and b = i - 3j + 2k are parallel, then the ratio of their magnitudes is
A. 3:1
B. 1:3
C. 2:1
D. 1:2
Submit Quiz
Disclaimer for MCQ Quiz
The questions in this MCQ quiz are intended solely for educational purposes. While we strive to ensure the accuracy of the content, the information provided may not always be up-to-date or complete. The quiz creators are not liable for any misunderstandings, errors, or any consequences arising from the use of this quiz. Participants should verify any information independently before relying on it for any critical decision-making.
इस MCQ क्विज़ के प्रश्न केवल शैक्षिक उद्देश्यों के लिए हैं। हम सामग्री की सटीकता सुनिश्चित करने का प्रयास करते हैं, फिर भी यहां दी गई जानकारी हमेशा अद्यतित या पूर्ण नहीं हो सकती। क्विज़ के निर्माता किसी भी गलतफहमी, त्रुटि या इस क्विज़ के उपयोग से उत्पन्न होने वाले किसी भी परिणाम के लिए उत्तरदायी नहीं हैं। प्रतिभागियों को किसी भी महत्वपूर्ण निर्णय के लिए इस जानकारी पर निर्भर होने से पहले स्वतंत्र रूप से इसकी पुष्टि करनी चाहिए। https://www.pyqonline.com यदि कोई गलती है या कोई सुझाव है तो e-mail करें
[email protected]