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प्रश्न
Represent graphically the displacement of 80 km, 60° south of west
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उत्तर
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संबंधित प्रश्न
If `bara and barb` are any two non-zero and non-collinear vectors then prove that any vector `barr` coplanar with `bara` and `barb` can be uniquely expressed as `barr = t_1bara + t_2barb` , where t1 and t2 are scalars.
Find a unit vector in the opposite direction of `baru`. Where `baru = 8hati + 3hatj- hatk`
Represent graphically the displacement of 45 cm, 30° north of east
If `(bar"a" + 2bar"b" - bar"c") * [(bar"a" - bar"b") xx (bar"a" - bar"b" - bar"c")] = "k"[bar"a" bar"b" bar"c"]`, then the value of k is
A line makes angles α, β, γ with the co-ordinate axes and α + β = 90°, then γ = ______.
The angle between two adjacent sides `overlinea` and `overlineb` of parallelogram is `pi/6`. if `overlinea` = (2, -2, 1) and `|overlineb| = 2|overlinea|`, then area of this parallelogram is ______
If a = `veca = hati + hatj - 2hatk, vecb = 2hati - hatj + hatk` and `vecc = 3hati - hatk` and `vecc = mveca + nvecb`, then m + n is equal to ______.
If `veca = hati - hatj + hatk, vecb = 2hati + λhatj + hatk, vecc = hati - hatj + 4hatk` and `veca.(vecb xx vecc)` = 10, then λ is equal to ______.
If a, b and c are three non-zero vectors which are pairwise non-collinear. If a + 3b is collinear with c and b + 2c is collinear with a, then a + 3b + 6c is ______.
The position vectors of vertices of ΔABC are `4hati - 2hatj; hati + 4hatj - 3hatk` and `-hati + 5hatj + hatk` respectively, then ∠ABC = ______.
The area of the triangle with vertices (1, 2, 0), (1, 0, 2) and (0, 3, 1) in sq. unit is ______.
In the triangle PQR, `bar("PQ") = 2bar "a"` and `bar("QR") = 2bar "b".` The mid-point of PR is M. Find the following vectors in terms of `bar "a" "and" bar"b"`.
Check whether the vectors `2hati + 2hatj + 3hatk, -3hati + 3hatj + 2hatk, "and" 3hati + 4hatk` form a triangle or not.
In the triangle PQR, `bar(PQ)` = 2 `bara` and `bar(QR)` = 2 `barb`. The mid-point of PR is M. Find the following vectors in terms of `bara` and `barb`.
- `bar(PR)`
- `bar(PM)`
- `bar(QM)`
Check whether the vectors `2 hati+2hatj+3hatk-3hati+3hatj+2hatk and 3hati+4hatk`form a triangle or not.
If \[\begin{bmatrix} 2\overline{p}-3\overline{r} & \overline{q} & \overline{s} \end{bmatrix}+ \begin{bmatrix} 3\overline{p}+2\overline{q} & \overline{r} & \overline{s} \end{bmatrix}\] \[=\mathrm{m}{ \begin{bmatrix} \overline{p} & \overline{r} & \overline{s} \end{bmatrix}}+\mathrm{n}{ \begin{bmatrix} \overline{q} & \overline{r} & \overline{s} \end{bmatrix}}+\mathrm{t}{ \begin{bmatrix} \overline{p} & \overline{q} & \overline{s} \end{bmatrix}}\], then the values of m, n, t respectively are....
