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NCERT Class 12 · Ch 10 Exercise 10.2 · Q14

NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.2 Question 14

Show i+j+k is equally inclined to the positive coordinate axes.

💡 Concept Hints

  1. Write the vector components and identify the required direction or geometric relation.
  2. Use the magnitude, dot-product, cross-product or section formula that matches the requested quantity.

✅ Step-by-Step Solution

Final Answer: Each angle is cos⁻¹(1/√3).
  1. The vector has magnitude √3 and each component 1.
  2. The three direction cosines are each 1/√3, so their inverse cosines are equal.

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