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Let us define the length of a vector a...

Let us define the length of a vector `a hat i+b hat j+c hat k a s|a|+|b|+|c|dot` This definition coincides with the usual definition of length of a vector `a hat i+b hat j+c hat k` is and only if (a) `a=b=c=0` (b) any two of `a ,b ,a n dc` are zero (c) any one of `a ,b ,a n dc` is zero (d) `a+b+c=0`

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CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
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  2. Given three vectors vec a=6 hat i-3 hat j , vec b=2 hat i-6 hat ja n ...

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  3. Let us define the length of a vector a hat i+b hat j+c hat k a s|a|+...

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  4. Vectors vec a=-4 hat i+3 hat k ; vec b=14 hat i+2 hat j-5 hat k are l...

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  5. Vectors vec a= hat i+2 hat j+3 hat k , vec b=2 hat i- hat j+ hat k an...

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  6. The position vectors of the vertices A ,B ,a n dC of a triangle are...

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  7. A ship is sailing towards the north at a speed of 1.25 m/s. The cur...

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  8. Given four points P1,P2,P3a n dP4 on the coordinate plane with origin ...

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  11. If vec a , vec ba n d vec c are any three non-coplanar vectors, then ...

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  12. If vec a , vec ba n d vec c are three non-zero non-coplanar vectors, ...

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  13. Let a, b, c be distinct non-negative numbers an the vectors ahati+aha...

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  14. A pyramid with vertex at point P has a regular hexagonal base A B C ...

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  15. ABCD is a parallelogram. If L and M be the middle points of BC and CD,...

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  16. A ,B ,C and D have position vectors vec a , vec b , vec ca n d vec d ...

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  17. If vec aa n d vec b are two unit vectors and theta is the angle betwe...

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  18. A B C D is a quadrilateral. E is the point of intersection of th...

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  19. If vectors vec A B=-3 hat i+4 hat ka n d vec A C=5 hat i-2 hat j+4 ha...

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  20. A B C D parallelogram, and A1a n dB1 are the midpoints of sides B Ca n...

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