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Angular Displacement

10. Are the m...

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10. Are the magnitude and directionof (vector A-vectorB) and ( vectorB - vectorA) same? why.

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Q. Which of the following is/are true?
1) Equal vectors have same direction but not necessarily the same magnitude.
2) Equal vectors have same magnitude and same direction.
3) Equal vectors cannot start from different points.

Q. A:The sum and difference of two vectors will be equal in magnitude when two vectors are perpendicular to each other.
B:The sum and difference of two vectors will have the same direction, when the vectors have unequal magnitudes but are in the same direction.

Q. Answer the following as true or false:
(i)

\vec{a}

\vec{a}

are collinear.
(ii) Two collinear vectors are always equal in magnitude.
(iii) Zero vector is unique.
(iv) Two vectors having same magnitude are collinear.
(v) Two collinear vectors having the same magnitude are equal.

Q. Two vectors are given by

A =^i + 2^j + 2^k

B = 3^i + 6^j + 2^k

. Another vector

\to C

has the same magnitude as

\to B

but has the same direction as

\to A

. Then which of the following vectors represents

\to C

?

Q. The vectors are given by

^A =^i + 2^j + 2^k

^B = 3^i + 6^j + 2^k

. Another vector

\to C

has the same magnitude as

B

but has the same direction as

A

. Then which of the following vectors represents

\to C

?

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