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Two vectors A and B lie in X-Y plane . T...

Two vectors A and B lie in X-Y plane . The vector B is perpendicular to vector A . If `Ahat(i)+hat(j)`, then B may be :-

A

`hat(i)-hat(j)`

B

`-hat(i)+hat(j)`

C

`-2hat(i)+2hat(j)`

D

Any of the above

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Verified by Experts

The correct Answer is:
D
Option A`rarr vec(A).vec(B)=1-1=0`
"Option B"`rarrvec(A).vec(B)=-1+1=0`
"Option C" ` rarrvec(A).vec(B)=-2+2=0` ltBrgt Hence (D)
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BANSAL-UNIT DIMENSION, VECTOR & BASIC MATHS-EXERCISE - 1 [SINGLE CORRECT CHOICE TYPE]
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  3. Two vectors A and B lie in X-Y plane . The vector B is perpendicular t...

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  4. The two vectors A=2hat(i)+hat(j)+3hat(k) and B=7hat(i)-5hat(j)-3hat(k...

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  5. 0.4hat(i)+0.8hat(j)+chat(k) represents a unit vector, when c is :-

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  6. The resultant of vec(A) and vec(B) makes an angle alpha with vec(A) ...

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  7. I started walking down a road to day-break facing the sun. After walki...

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  8. If |vec(A)+vec(B)|=|vec(A)|=|vec(B)| then the angle between vec(A) and...

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  9. which of the following is not true ? If vec(A)=3hat(i)+4hat(j) and vec...

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  10. If vector vec(A)=hat(i)+2hat(j)+4hat(k) and vec(B)=5hat(i) represent t...

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  11. If vec(a) be a unit vector, then :-

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  12. If two numerical equal forces P and P acting at a point produce a resu...

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  13. Given that vec(A)+vec(B)=vec(R) and vec(A)+2vec(B) is perpendicular...

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  14. The value of lambda for two perpendicular vectors vec(A)=2vec(i)+lamb...

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  15. The resultant of two vectors of magnitude 3 units 4 units is 1 unit. ...

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  16. If vec(i) and vec(j) are unit vectors along x-axis and y-axis respecti...

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  17. The angle subtended by vector vec(i)+vec(j) with x-axis is :-

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  18. Moment about point whose coordinate is (1,2,3) of a force represented ...

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  19. If vec(A) and vec(B) denote the sides of a parallelogram and its area ...

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  20. A vector perpendicular to (hat(i)+hat(j)+hat(k)) and (hat(i)-hat(j)-...

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