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Geometry
Three non-perpendicular vectors have magnitudes of 242, 57, 159 Newtons and respectively have angles of 24, 67 and 69 degrees with respect to the x-axis. Find the magnitude of their resultant.
Round to two decimal places.
Round to two decimal places.
Geometry
find the value of x and YZ if Y is between X and Z.
XY= 5x, YZ=x, and XY=25
XY= 5x, YZ=x, and XY=25
Geometry
Show that the vectors a = 3i − j + 4k, b = i − 3j − 2k and c = 4i − 3j + 2k are
linearly independent. Find numbers α, β and γ such that d = 2i + 3j − k can be
expressed in the form d = αa + βb + γc.
linearly independent. Find numbers α, β and γ such that d = 2i + 3j − k can be
expressed in the form d = αa + βb + γc.
Geometry
Show that if a and b are
(a) in the same direction then |a + b| = |a| + |b|,
(b) in the opposite direction then |a − b| = |a| + |b|
(a) in the same direction then |a + b| = |a| + |b|,
(b) in the opposite direction then |a − b| = |a| + |b|
Geometry
The base BC of triangle ABC is trisected at X and Y .
Show that |AX|
2 + |AY|
2 + 4|XY|
2 = |AB|
2 + |AC|
2
Show that |AX|
2 + |AY|
2 + 4|XY|
2 = |AB|
2 + |AC|
2
Geometry
(VW+WX)/VW=(VZ+YZ)/VZ what would this be called?
Geometry
ABCD is a quadrilateral and P and Q are midpoints of AC and BD respectively. Show that AB +AD+CB+CD= 4PQ
Geometry
If a square and a rhombus stands on same base, then find the ratio between area of square and rhombus ? (For class 9)
Geometry
In a pparallelogramABCD, P divides AB in the ratio 2 : 5 and Q divides DC in the ratio 3 : 2. If AC and PQ intersect at R, find the ratios AR : RC and PR : RQ.
Geometry
On Monday, the Mars Rover traveled 330 cm. On Tuesday, traveled 180 cm. If the Rover stopped every 15 cm to recharge, how many more times did it need to recharge on Monday than Tuesday?
