Linear Combination of Vectors
Trending Questions
Q. Let →a=2→i+^j+^k, →b=^i+2^j−^k and a unit vector →c be coplanar. If →c is perpendicular to →a, then →c is equal to
- 1√2(−^j+^k)
- 1√3(−^i−^j−^k)
- 1√5(−^i−2^j)
- 1√5(^i−^j−^k)
Q. Let, →a=^i+2^j+^k, →b=^i−^j+^k, →c=^i+^j−^k.
A vector coplanar to →a and →b has a projection along →c of magnitude 1√3, then the vector is
A vector coplanar to →a and →b has a projection along →c of magnitude 1√3, then the vector is
- 4^i−^j+4^k
- None of these
- 4^i+^j−4k
- 2^i+^j+^k
Q. If x=3+√8, then find the value of x4+1x4
Q. Let, →a=^i+2^j+^k, →b=^i−^j+^k, →c=^i+^j−^k.
A vector coplanar to →a and →b has a projection along →c of magnitude 1√3, then the vector is
A vector coplanar to →a and →b has a projection along →c of magnitude 1√3, then the vector is
- 2^i+^j+^k
- 4^i−^j+4^k
- 4^i+^j−4k
- None of these
Q. If →v1and→v2 are two vectors in x – y plane. Then any vector in that plane can be obtained by the linear combination of these two vectors.The statement is
- True
- False
Q. The linear combination of ¯a=[12]and¯b=[03] which gives the vector [22] will be ___ ¯a +__ ¯b. (If any of the blanks is a fraction, enter the value to the nearest hundredth place).
Q. If →v1and→v2 are 2 vectors, then c1→v1+c2→v2.→v2 is the linear combination of these 2 vectors where c1, c2`εR.
- True
- False
Q. Let →a=2→i+^j+^k, →b=^i+2^j−^k and a unit vector →c be coplanar. If →c is perpendicular to →a, then →c is equal to
- 1√2(−^j+^k)
- 1√3(−^i−^j−^k)
- 1√5(−^i−2^j)
- 1√5(^i−^j−^k)
Q. The negation of the statement q∨(p∧∼r) is equivalent to
- ∼q∧(p→r)
- ∼q∧∼(p→r)
- ∼q∧(∼p∧r)
- None of these.
Q. √6+√6+√6+√6+.....to∞=........
- 2
- 1
- 3
- ±3
Q. State the type of variables for the given statement:
Number of children in your class.
- Discrete
- Continous
- Ordinal
- Nominal
