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For what value of lambda, the vectors la...

For what value of `lambda`, the vectors `lambda hat(i) + 3hat(j) + lambda hat(k)` and `lambda hat(i) - 2hat(j) + hat(k)` are perpendicular to each others.

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The correct Answer is:
`lamda=2,-3`
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For what value of lambda , the vectors hat(i) + 2lambda hat(j) + hat(k) and 2hat(i) + hat(j) - 3hat(k) are perpendicular ?

For what value of lambda the vectors 2lambdahati+hatj+3lambdahatk and lambdahati-4hat j+2hat k . Are perpendicular to each other.

ARIHANT PRAKASHAN-VECTORS -TOPIC -2 (PRACTICE QUESTIONS) (1 MARK QUESTIONS)
  1. Determine the value of m, for which the following vectors are orthogon...

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  2. Find the value of lambda such that the following vectors are coplanar...

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  3. For what value of lambda, the vectors lambda hat(i) + 3hat(j) + lambda...

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  4. Find the scalar projection of the vector vec a= 3 hat i+6 hat j+9 hat ...

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  5. Determine mu, for which the vector vec(a)=mu(6hat(i)+2hat(j)-3hat(k)) ...

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  6. Show that the vectors 2hat(i) + 3hat(j), 5hat(i) - 5hat(k) and 6hat(j)...

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  7. If vec(a).vec(b) = 0 and vec(a) xx vec(b) = vec(0), then draw the conc...

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  8. If vec(a)xxvec(b)=vec(b)xxvec(c )!=vec(0), then prove that vec(a)+ve...

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  9. What is the angle between the vectors 2hat(i) - hat(j) - hat(k) and ha...

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  10. Determine the area of the parallelogram whose sides are the vectors 2h...

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  11. Using vector method find the area of the triangle with vertices (1, 0,...

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  12. Write the angle between vec(a) and vec(c ), if vec(a)xx(vec(b)xxvec(c ...

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  13. What is (hat(i)-hat(j))*(hat(j)-hat(i)) ?

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  14. (2hat(i)-4hat(j))*(hat(i)+hat(j)+hat(k))= . . . .

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  15. If vec(a)=hat(i)+2hat(j)-hat(k),vec(b)=hat(i)+hat(j)+2hat(k),vec(c )=2...

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  16. Each question given below have four possible answers, out of which onl...

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  17. Each question given below have four possible answers, out of which onl...

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  18. Each question given below have four possible answers, out of which onl...

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  19. (-vec(a))*vec(b)xx(-vec(c))= . . . .

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  20. For the non-zero vectors vec(a),vec(b) and vec(c ),vec(a)*(vec(b)xxvec...

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