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What are the direction cosines ?...

What are the direction cosines ?

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(i) A line OP through origin O is inclined at 60^(@) and 30^(@) to OY and OZ respectively . Find the angle at which it is inclined to OX (ii) What are the direction cosines of a line which of a line which is equally inclined to the axes ?

If a line has direction ratios proportional to 2, -1, -2, then what are its direction cosines?

If a line has direction ratios 2, –1, –2, then what are its direction cosines?

If a line has the direction ratios 18 , 12 , 4 , then what are its direction cosines?

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The direction cosines of two lines satisfying the conditions l + m + n = 0 and 3lm - 5mn + 2nl = 0 where l, m, n are the direction cosines. Angle between the lines is

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ICSE-VECTORS SCALARS ELEMENTARY CALCULUS -SHORT ANSWER QUESTIONS
  1. A given vector vec(v) is multiplied by 3 and -3 . Draw diagram to ill...

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  2. What is difference between multiplying a vector by a real number an...

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  3. What is scalar product of two vectors is vectors ? Why is it called s...

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  4. The scalar produced of two vectors is zerois zero what does it imply...

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  5. Cross product of two vectors is called vector product .Why?

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  6. How will you find the direction of the vector product of two vectors ?

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  7. The vector product of two vectors is a zero vector ? What does it impl...

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  8. vec(A) xx vec(B) not equal to vec(B) xx vec(A) . Why?

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  9. Write down the components of a vector using the three unit vectors ?

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  10. What are the direction cosines ?

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  11. Is commutative law applicable to vector subtraction ?

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  12. What is the condition for magnitude of vec(A) + vec(B) to be equal t...

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  13. What is dot product of two orthogonal vector ?

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  14. If vec(A) xx vec(B) = 0 under the condition vec(A) = 0,vec(B) = 0 what...

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  15. 'Time' , is scalar or vector ?

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  16. Is it possible that dot product of two vectors is zero even if t...

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  17. Force and area are vectors ? Pressure is equal to force (thrust) divi...

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  18. What is the condition for parallelism of two vectors ?

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  19. What is the condition for perpendicularity of two vectors ?

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  20. Is it possible that the scalar product of two vectors is negative ?

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