1
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The angle between the diagonals of the parallelogram whose adjacent sides are $2 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}-5 \hat{\mathbf{k}}, \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}$ is
A
$\cos ^{-1}\left(\frac{7}{\sqrt{69}}\right)$
B
$\cos ^{-1}\left(\frac{1}{7 \sqrt{69}}\right)$
C
$\cos ^{-1}\left(\frac{1}{7}\right)$
D
$\cos ^{-1}\left(\frac{31}{7 \sqrt{69}}\right)$
2
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If the points having the position vectors $-i+4 j-4 k_{\text {, }}$, $3 i+2 j-5 k,-3 i+8 j-5 k$ and $-3 i+2 j+\lambda k$ are coplanar, then $\lambda=$
A
1
B
2
C
-2
D
-3
3
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $|f|=10,|g|=14$ and $|f-g|=15$, then $|f+g|=$
A
367
B
$\sqrt{367}$
C
400
D
20
4
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $\mathbf{a}, \mathbf{b}, \mathbf{c}$ are three vectors such that $|\mathbf{a}|=|\mathbf{b}|=|\mathbf{c}|=\sqrt{3}$ and $(a+b-c)^2+(b+c-a)^2+(c+a-b)^2=36$, then $|2 a-3 b+2 c|=$
A
15
B
25
C
147
D
75
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