Vector Algebra
Madhya Pradesh Board · Class 12 · Mathematics
Flashcards for Vector Algebra — Madhya Pradesh Board Class 12 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
Interactive on Super Tutor
Studying Vector Algebra? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for flashcards and more.
1,000+ Class 12 students started this chapter today
Super Tutor has 23+ illustrations like this for Vector Algebra alone — flashcards, concept maps, and step-by-step visuals.
See them allइन राशियों को अदिश या सदिश के रूप में वर्गीकृत करें: 5 seconds, 10 Newton, 30 km/hr, 10 g/cm³, उत्तर की ओर 20 m/s.
Answer
चरण 1: एक अदिश में केवल परिमाण होता है। एक सदिश में परिमाण और दिशा होती है। चरण 2: 5 seconds → अदिश। चरण 3: 10 Newton → सदिश। चरण 4: 30 km/hr → अदिश। चरण 5: 10 g/cm³ → अदिश। चरण 6: उत्तर की ओर 20 m/s …
Classify these quantities as scalar or vector: 5 seconds, 10 Newton, 30 km/hr, 10 g/cm³, 20 m/s towards north.
Answer
Step 1: A scalar has magnitude only. A vector has magnitude and direction. Step 2: 5 seconds → scalar. Step 3: 10 Newton → vector. Step 4: 30 km/hr → scalar. Step 5: 10 g/cm³ → scalar. Step 6: 20 m/s …
Find the magnitude of the position vector of the point P(3, 4, 12).
Answer
Use the position vector magnitude formula: |OP| = √(x² + y² + z²) Step 1: Substitute x = 3, y = 4, z = 12. Step 2: |OP| = √(3² + 4² + 12²) Step 3: |OP| = √(9 + 16 + 144) = √169 Answer: |OP| = 13 units…
बिंदु P(3, 4, 12) के स्थिति सदिश का परिमाण ज्ञात कीजिए।
Answer
स्थिति सदिश के परिमाण का सूत्र उपयोग करें: |OP| = √(x² + y² + z²) चरण 1: x = 3, y = 4, z = 12 रखें। चरण 2: |OP| = √(3² + 4² + 12²) चरण 3: |OP| = √(9 + 16 + 144) = √169 उत्तर: |OP| = 13 units.
P(2, -5, 7) का स्थिति सदिश अवयव रूप में लिखिए और उसका परिमाण ज्ञात कीजिए।
Answer
चरण 1: स्थिति सदिश है r⃗ = xî + yĵ + zk̂. चरण 2: निर्देशांक रखिए: r⃗ = 2î - 5ĵ + 7k̂. चरण 3: परिमाण है |r⃗| = √(x² + y² + z²). चरण 4: |r⃗| = √(2² + (-5)² + 7²) = √(4 + 25 + 49) = √78. उत्तर: r⃗ = 2î -…
Write the position vector of P(2, -5, 7) in component form and find its magnitude.
Answer
Step 1: Position vector is r⃗ = xî + yĵ + zk̂. Step 2: Substitute coordinates: r⃗ = 2î - 5ĵ + 7k̂. Step 3: Magnitude is |r⃗| = √(x² + y² + z²). Step 4: |r⃗| = √(2² + (-5)² + 7²) = √(4 + 25 + 49) = √78…
Find the unit vector in the direction of a⃗ = 2î + 3ĵ + k̂.
Answer
Step 1: Find the magnitude first. |a⃗| = √(2² + 3² + 1²) = √14 Step 2: Use â = (1/|a⃗|)a⃗. Step 3: â = (1/√14)(2î + 3ĵ + k̂) Step 4: Write each component separately. Answer: â = (2/√14)î + (3/√14)ĵ + …
a⃗ = 2î + 3ĵ + k̂ की दिशा में एकक सदिश ज्ञात कीजिए।
Answer
चरण 1: पहले परिमाण ज्ञात कीजिए। |a⃗| = √(2² + 3² + 1²) = √14 चरण 2: â = (1/|a⃗|)a⃗ का उपयोग कीजिए। चरण 3: â = (1/√14)(2î + 3ĵ + k̂) चरण 4: प्रत्येक अवयव अलग-अलग लिखिए। उत्तर: â = (2/√14)î + (3/√14)ĵ +…
+44 more flashcards available
Practice AllFrequently Asked Questions
What are the important topics in Vector Algebra for Madhya Pradesh Board Class 12 Mathematics?
How to score full marks in Vector Algebra — Madhya Pradesh Board Class 12 Mathematics?
How many flashcards are available for Vector Algebra?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Vector Algebra
Practice Quiz
Test yourself with a quick quiz
Important Questions
Practice with board exam-style questions
Revision Notes
Key points for last-minute revision
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect visually
Study Plan
Step-by-step plan to ace this chapter
Syllabus
What topics to cover
NCERT Solutions
Every textbook question solved step by step
For serious students
Get the full Vector Algebra chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Madhya Pradesh Board Class 12 Mathematics.